10792623960 has 384 divisors, whose sum is σ = 39788236800. Its totient is φ = 2522741760.

The previous prime is 10792623923. The next prime is 10792623967. The reversal of 10792623960 is 6932629701.

It is a happy number.

10792623960 is a `hidden beast` number, since 10 + 7 + 9 + 2 + 623 + 9 + 6 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10792623967) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4875814 + ... + 4878026.

It is an arithmetic number, because the mean of its divisors is an integer number (103615200).

Almost surely, 2^10792623960 is an apocalyptic number.

10792623960 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 10792623960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19894118400).

10792623960 is an abundant number, since it is smaller than the sum of its proper divisors (28995612840).

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

10792623960 is a wasteful number, since it uses less digits than its factorization.

10792623960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2303 (or 2296 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The spelling of 10792623960 in words is "ten billion, seven hundred ninety-two million, six hundred twenty-three thousand, nine hundred sixty".