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880085041920 = 28325723835717
BaseRepresentation
bin11001100111010010010…
…10000000001100000000
310010010122122021101120100
430303221022000030000
5103404403232320140
61512145552442400
7120404220266160
oct14635112001400
93103578241510
10880085041920
1130a273076057
12122696849400
1364cb78b8746
143084c51a5a0
1517d5dead530
hexcce9280300

880085041920 has 864 divisors, whose sum is σ = 3675700933632. Its totient is φ = 190064590848.

The previous prime is 880085041909. The next prime is 880085041921. The reversal of 880085041920 is 29140580088.

It is a happy number.

It is a super-2 number, since 2×8800850419202 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (880085041921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 153938902 + ... + 153944618.

It is an arithmetic number, because the mean of its divisors is an integer number (4254283488).

Almost surely, 2880085041920 is an apocalyptic number.

880085041920 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 880085041920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1837850466816).

880085041920 is an abundant number, since it is smaller than the sum of its proper divisors (2795615891712).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

880085041920 is a wasteful number, since it uses less digits than its factorization.

880085041920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5857 (or 5840 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 45.

The spelling of 880085041920 in words is "eight hundred eighty billion, eighty-five million, forty-one thousand, nine hundred twenty".