10392604992 has 448 divisors, whose sum is σ = 39139246080. Its totient is φ = 2625177600.

The previous prime is 10392604961. The next prime is 10392605033. The reversal of 10392604992 is 29940629301.

It is a happy number.

10392604992 is a `hidden beast` number, since 1 + 0 + 39 + 2 + 604 + 9 + 9 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4922017 + ... + 4924127.

Almost surely, 2^10392604992 is an apocalyptic number.

10392604992 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 10392604992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19569623040).

10392604992 is an abundant number, since it is smaller than the sum of its proper divisors (28746641088).

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

10392604992 is a wasteful number, since it uses less digits than its factorization.

10392604992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2187 (or 2171 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The spelling of 10392604992 in words is "ten billion, three hundred ninety-two million, six hundred four thousand, nine hundred ninety-two".