10807929600 has 864 divisors, whose sum is σ = 42154801920. Its totient is φ = 2415329280.

The previous prime is 10807929593. The next prime is 10807929607. The reversal of 10807929600 is 692970801.

It is an interprime number because it is at equal distance from previous prime (10807929593) and next prime (10807929607).

It is a super-2 number, since 2×10807929600² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10807929607) 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, 203923174 + ... + 203923226.

It is an arithmetic number, because the mean of its divisors is an integer number (48790280).

Almost surely, 2^10807929600 is an apocalyptic number.

10807929600 is a gapful number since it is divisible by the number (10) 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 10807929600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21077400960).

10807929600 is an abundant number, since it is smaller than the sum of its proper divisors (31346872320).

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

10807929600 is a wasteful number, since it uses less digits than its factorization.

10807929600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 42.

The spelling of 10807929600 in words is "ten billion, eight hundred seven million, nine hundred twenty-nine thousand, six hundred".