10375252992 has 132 divisors (see below), whose sum is σ = 32263176400. Its totient is φ = 3192348672.

The previous prime is 10375252981. The next prime is 10375253047. The reversal of 10375252992 is 29925257301.

10375252992 is a `hidden beast` number, since 1 + 0 + 37 + 5 + 2 + 529 + 92 = 666.

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 11 ways as a sum of consecutive naturals, for example, 76509 + ... + 163107.

Almost surely, 2^10375252992 is an apocalyptic number.

10375252992 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 10375252992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16131588200).

10375252992 is an abundant number, since it is smaller than the sum of its proper divisors (21887923408).

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

10375252992 is a wasteful number, since it uses less digits than its factorization.

10375252992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86638 (or 86617 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 45.

The spelling of 10375252992 in words is "ten billion, three hundred seventy-five million, two hundred fifty-two thousand, nine hundred ninety-two".