10792953600 has 432 divisors, whose sum is σ = 41856737664. Its totient is φ = 2414592000.

The previous prime is 10792953593. The next prime is 10792953623. The reversal of 10792953600 is 635929701.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2743635 + ... + 2747565.

Almost surely, 2^10792953600 is an apocalyptic number.

10792953600 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 10792953600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20928368832).

10792953600 is an abundant number, since it is smaller than the sum of its proper divisors (31063784064).

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

10792953600 is a wasteful number, since it uses less digits than its factorization.

10792953600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3984 (or 3965 counting only the distinct ones).

The product of its (nonzero) digits is 102060, while the sum is 42.

The spelling of 10792953600 in words is "ten billion, seven hundred ninety-two million, nine hundred fifty-three thousand, six hundred".