11667566400 has 504 divisors, whose sum is σ = 45025421760. Its totient is φ = 2637250560.

The previous prime is 11667566399. The next prime is 11667566401. The reversal of 11667566400 is 466576611.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (11667566399) and next prime (11667566401).

It is a super-2 number, since 2×11667566400² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11667566401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 26577381 + ... + 26577819.

Almost surely, 2^11667566400 is an apocalyptic number.

11667566400 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 11667566400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22512710880).

11667566400 is an abundant number, since it is smaller than the sum of its proper divisors (33357855360).

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

11667566400 is a wasteful number, since it uses less digits than its factorization.

11667566400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 591 (or 569 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The spelling of 11667566400 in words is "eleven billion, six hundred sixty-seven million, five hundred sixty-six thousand, four hundred".