10076457952 has 96 divisors (see below), whose sum is σ = 21914323200. Its totient is φ = 4560519040.

The previous prime is 10076457949. The next prime is 10076457973. The reversal of 10076457952 is 25975467001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15290199 + ... + 15290857.

It is an arithmetic number, because the mean of its divisors is an integer number (228274200).

Almost surely, 2^10076457952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10076457952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10957161600).

10076457952 is an abundant number, since it is smaller than the sum of its proper divisors (11837865248).

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

10076457952 is an equidigital number, since it uses as much as digits as its factorization.

10076457952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1061 (or 1031 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 46.

It can be divided in two parts, 10076 and 457952, that added together give a triangular number (468028 = T₉₆₇).

The spelling of 10076457952 in words is "ten billion, seventy-six million, four hundred fifty-seven thousand, nine hundred fifty-two".