10252627968 has 208 divisors, whose sum is σ = 30157558272. Its totient is φ = 3072000000.

The previous prime is 10252627949. The next prime is 10252627993. The reversal of 10252627968 is 86972625201.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13651593 + ... + 13652343.

Almost surely, 2^10252627968 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 10252627968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15078779136).

10252627968 is an abundant number, since it is smaller than the sum of its proper divisors (19904930304).

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

10252627968 is a wasteful number, since it uses less digits than its factorization.

10252627968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 890 (or 868 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 48.

The spelling of 10252627968 in words is "ten billion, two hundred fifty-two million, six hundred twenty-seven thousand, nine hundred sixty-eight".