11667776400 has 360 divisors, whose sum is σ = 46533926400. Its totient is φ = 2651996160.

The previous prime is 11667776381. The next prime is 11667776431. The reversal of 11667776400 is 467776611.

11667776400 is a `hidden beast` number, since 116 + 67 + 7 + 76 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×11667776400² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 4862401 + ... + 4864799.

Almost surely, 2^11667776400 is an apocalyptic number.

11667776400 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 11667776400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23266963200).

11667776400 is an abundant number, since it is smaller than the sum of its proper divisors (34866150000).

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

11667776400 is a wasteful number, since it uses less digits than its factorization.

11667776400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2623 (or 2609 counting only the distinct ones).

The product of its (nonzero) digits is 296352, while the sum is 45.

The spelling of 11667776400 in words is "eleven billion, six hundred sixty-seven million, seven hundred seventy-six thousand, four hundred".