11666678400 has 1152 divisors, whose sum is σ = 49995014400. Its totient is φ = 2645360640.

The previous prime is 11666678377. The next prime is 11666678411. The reversal of 11666678400 is 487666611.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×11666678400² (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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 248227177 + ... + 248227223.

It is an arithmetic number, because the mean of its divisors is an integer number (43398450).

Almost surely, 2^11666678400 is an apocalyptic number.

11666678400 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 11666678400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24997507200).

11666678400 is an abundant number, since it is smaller than the sum of its proper divisors (38328336000).

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

11666678400 is a wasteful number, since it uses less digits than its factorization.

11666678400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 11666678400 in words is "eleven billion, six hundred sixty-six million, six hundred seventy-eight thousand, four hundred".