10557876336 has 240 divisors, whose sum is σ = 33139307520. Its totient is φ = 2884654080.

The previous prime is 10557876331. The next prime is 10557876353. The reversal of 10557876336 is 63367875501.

It is a super-2 number, since 2×10557876336² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10557876331) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6488355 + ... + 6489981.

It is an arithmetic number, because the mean of its divisors is an integer number (138080448).

Almost surely, 2^10557876336 is an apocalyptic number.

10557876336 is a gapful number since it is divisible by the number (16) 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 10557876336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16569653760).

10557876336 is an abundant number, since it is smaller than the sum of its proper divisors (22581431184).

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

10557876336 is a wasteful number, since it uses less digits than its factorization.

10557876336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1772 (or 1759 counting only the distinct ones).

The product of its (nonzero) digits is 3175200, while the sum is 51.

The spelling of 10557876336 in words is "ten billion, five hundred fifty-seven million, eight hundred seventy-six thousand, three hundred thirty-six".