10792617840 has 120 divisors (see below), whose sum is σ = 36741896880. Its totient is φ = 2838592512.

The previous prime is 10792617833. The next prime is 10792617851. The reversal of 10792617840 is 4871629701.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50110 + ... + 155229.

It is an arithmetic number, because the mean of its divisors is an integer number (306182474).

Almost surely, 2^10792617840 is an apocalyptic number.

10792617840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10792617840 is an abundant number, since it is smaller than the sum of its proper divisors (25949279040).

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

10792617840 is a wasteful number, since it uses less digits than its factorization.

10792617840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205431 (or 205422 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The spelling of 10792617840 in words is "ten billion, seven hundred ninety-two million, six hundred seventeen thousand, eight hundred forty".