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56805840000 = 273354713172
BaseRepresentation
bin110100111001111001…
…000101010010000000
312102121220012122222000
4310321321011102000
51412314243340000
642032442144000
74050462446610
oct647171052200
9172556178860
1056805840000
1122100463408
12b0141b2000
135483a848a0
142a6c588a40
15172710a000
hexd39e45480

56805840000 has 1920 divisors, whose sum is σ = 273909820800. Its totient is φ = 11280384000.

The previous prime is 56805839999. The next prime is 56805840023. The reversal of 56805840000 is 4850865.

It is a happy number.

56805840000 is a `hidden beast` number, since 568 + 0 + 58 + 40 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 3341519992 + ... + 3341520008.

It is an arithmetic number, because the mean of its divisors is an integer number (142661365).

Almost surely, 256805840000 is an apocalyptic number.

56805840000 is a gapful number since it is divisible by the number (50) 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 56805840000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136954910400).

56805840000 is an abundant number, since it is smaller than the sum of its proper divisors (217103980800).

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

56805840000 is a wasteful number, since it uses less digits than its factorization.

56805840000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The spelling of 56805840000 in words is "fifty-six billion, eight hundred five million, eight hundred forty thousand".