10155704832 has 840 divisors, whose sum is σ = 39286931904. Its totient is φ = 2561974272.

The previous prime is 10155704807. The next prime is 10155704903. The reversal of 10155704832 is 23840755101.

10155704832 is a `hidden beast` number, since 1 + 0 + 1 + 5 + 570 + 4 + 83 + 2 = 666.

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

It is an unprimeable number.

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 83 ways as a sum of consecutive naturals, for example, 441552373 + ... + 441552395.

Almost surely, 2^10155704832 is an apocalyptic number.

10155704832 is a gapful number since it is divisible by the number (12) 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 10155704832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19643465952).

10155704832 is an abundant number, since it is smaller than the sum of its proper divisors (29131227072).

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

10155704832 is an frugal number, since it uses more digits than its factorization.

10155704832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The spelling of 10155704832 in words is "ten billion, one hundred fifty-five million, seven hundred four thousand, eight hundred thirty-two".