10876118400 has 768 divisors, whose sum is σ = 46544640000. Its totient is φ = 2479196160.

The previous prime is 10876118317. The next prime is 10876118413. The reversal of 10876118400 is 481167801.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 29635017 + ... + 29635383.

It is an arithmetic number, because the mean of its divisors is an integer number (60605000).

Almost surely, 2^10876118400 is an apocalyptic number.

10876118400 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 10876118400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23272320000).

10876118400 is an abundant number, since it is smaller than the sum of its proper divisors (35668521600).

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

10876118400 is an equidigital number, since it uses as much as digits as its factorization.

10876118400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 421 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 36.

The spelling of 10876118400 in words is "ten billion, eight hundred seventy-six million, one hundred eighteen thousand, four hundred".