11638807756800 has 1152 divisors, whose sum is σ = 46742317615680. Its totient is φ = 2502741196800.

The previous prime is 11638807756753. The next prime is 11638807756811. The reversal of 11638807756800 is 865770883611.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4971723630 + ... + 4971725970.

Almost surely, 2^{11638807756800} is an apocalyptic number.

11638807756800 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 11638807756800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23371158807840).

11638807756800 is an abundant number, since it is smaller than the sum of its proper divisors (35103509858880).

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

11638807756800 is an equidigital number, since it uses as much as digits as its factorization.

11638807756800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2425 (or 2375 counting only the distinct ones).

The product of its (nonzero) digits is 13547520, while the sum is 60.

The spelling of 11638807756800 in words is "eleven trillion, six hundred thirty-eight billion, eight hundred seven million, seven hundred fifty-six thousand, eight hundred".