11877062400 has 648 divisors, whose sum is σ = 50372859264. Its totient is φ = 2712268800.

The previous prime is 11877062383. The next prime is 11877062413. The reversal of 11877062400 is 426077811.

11877062400 is a `hidden beast` number, since 1 + 187 + 70 + 6 + 2 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (648).

It is a super-2 number, since 2×11877062400² (a number of 21 digits) contains 22 as substring.

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 71 ways as a sum of consecutive naturals, for example, 10885855 + ... + 10886945.

Almost surely, 2^11877062400 is an apocalyptic number.

11877062400 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 11877062400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25186429632).

11877062400 is an abundant number, since it is smaller than the sum of its proper divisors (38495796864).

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

11877062400 is an equidigital number, since it uses as much as digits as its factorization.

11877062400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1139 (or 1108 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The spelling of 11877062400 in words is "eleven billion, eight hundred seventy-seven million, sixty-two thousand, four hundred".