10957879800 has 288 divisors, whose sum is σ = 43907122800. Its totient is φ = 2504597760.

The previous prime is 10957879729. The next prime is 10957879819. The reversal of 10957879800 is 897875901.

It is a super-2 number, since 2×10957879800² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 71 ways as a sum of consecutive naturals, for example, 243894 + ... + 285306.

Almost surely, 2^10957879800 is an apocalyptic number.

10957879800 is a gapful number since it is divisible by the number (10) 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 10957879800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21953561400).

10957879800 is an abundant number, since it is smaller than the sum of its proper divisors (32949243000).

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

10957879800 is a wasteful number, since it uses less digits than its factorization.

10957879800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41452 (or 41430 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 54.

The spelling of 10957879800 in words is "ten billion, nine hundred fifty-seven million, eight hundred seventy-nine thousand, eight hundred".