10057259888 has 80 divisors (see below), whose sum is σ = 21388631040. Its totient is φ = 4552864512.

The previous prime is 10057259879. The next prime is 10057259897. The reversal of 10057259888 is 88895275001.

It is an interprime number because it is at equal distance from previous prime (10057259879) and next prime (10057259897).

It is a super-2 number, since 2×10057259888² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9117545 + ... + 9118647.

It is an arithmetic number, because the mean of its divisors is an integer number (267357888).

Almost surely, 2^10057259888 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 10057259888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10694315520).

10057259888 is an abundant number, since it is smaller than the sum of its proper divisors (11331371152).

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

10057259888 is a wasteful number, since it uses less digits than its factorization.

10057259888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1926 (or 1920 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 53.

The spelling of 10057259888 in words is "ten billion, fifty-seven million, two hundred fifty-nine thousand, eight hundred eighty-eight".