10023752704 has 176 divisors, whose sum is σ = 24824181888. Its totient is φ = 3947102208.

The previous prime is 10023752699. The next prime is 10023752723. The reversal of 10023752704 is 40725732001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5238852 + ... + 5240764.

It is an arithmetic number, because the mean of its divisors is an integer number (141046488).

Almost surely, 2^10023752704 is an apocalyptic number.

10023752704 is a gapful number since it is divisible by the number (14) 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 10023752704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12412090944).

10023752704 is an abundant number, since it is smaller than the sum of its proper divisors (14800429184).

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

10023752704 is a wasteful number, since it uses less digits than its factorization.

10023752704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2000 (or 1982 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 31.

The spelling of 10023752704 in words is "ten billion, twenty-three million, seven hundred fifty-two thousand, seven hundred four".