11323876636800 has 5760 divisors, whose sum is σ = 58348348056000. Its totient is φ = 2130320424960.

The previous prime is 11323876636799. The next prime is 11323876636811. The reversal of 11323876636800 is 863667832311.

It is a tau number, because it is divible by the number of its divisors (5760).

It is a super-2 number, since 2×11323876636800² (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 719 ways as a sum of consecutive naturals, for example, 595993507191 + ... + 595993507209.

Almost surely, 2^{11323876636800} is an apocalyptic number.

11323876636800 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 11323876636800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29174174028000).

11323876636800 is an abundant number, since it is smaller than the sum of its proper divisors (47024471419200).

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

11323876636800 is a wasteful number, since it uses less digits than its factorization.

11323876636800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 11323876636800 in words is "eleven trillion, three hundred twenty-three billion, eight hundred seventy-six million, six hundred thirty-six thousand, eight hundred".