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89086140000 = 25325411133461
BaseRepresentation
bin101001011110111110…
…0101001111001100000
322111221120021210212200
41102331330221321200
52424422022440000
6104531533053200
76302431460454
oct1227574517140
9274846253780
1089086140000
11348658925a0
1215322927200
1385296b5110
1444517b4664
1524b6013500
hex14bdf29e60

89086140000 has 720 divisors, whose sum is σ = 372024276624. Its totient is φ = 19929600000.

The previous prime is 89086139983. The next prime is 89086140001. The reversal of 89086140000 is 4168098.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89086140001) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 25738270 + ... + 25741730.

Almost surely, 289086140000 is an apocalyptic number.

89086140000 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 89086140000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186012138312).

89086140000 is an abundant number, since it is smaller than the sum of its proper divisors (282938136624).

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

89086140000 is a wasteful number, since it uses less digits than its factorization.

89086140000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3521 (or 3495 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 89086140000 in words is "eighty-nine billion, eighty-six million, one hundred forty thousand".