10239768576 has 240 divisors, whose sum is σ = 32393481120. Its totient is φ = 3211591680.

The previous prime is 10239768557. The next prime is 10239768673. The reversal of 10239768576 is 67586793201.

10239768576 is a `hidden beast` number, since 1 + 0 + 2 + 3 + 9 + 7 + 68 + 576 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2818281 + ... + 2821911.

It is an arithmetic number, because the mean of its divisors is an integer number (134972838).

Almost surely, 2^10239768576 is an apocalyptic number.

10239768576 is a gapful number since it is divisible by the number (16) 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 10239768576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16196740560).

10239768576 is an abundant number, since it is smaller than the sum of its proper divisors (22153712544).

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

10239768576 is an equidigital number, since it uses as much as digits as its factorization.

10239768576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3682 (or 3653 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 10239768576 in words is "ten billion, two hundred thirty-nine million, seven hundred sixty-eight thousand, five hundred seventy-six".