11686550400 has 1152 divisors, whose sum is σ = 52484140800. Its totient is φ = 2508226560.

The previous prime is 11686550357. The next prime is 11686550411. The reversal of 11686550400 is 405568611.

11686550400 is a `hidden beast` number, since 1 + 1 + 68 + 6 + 550 + 40 + 0 = 666.

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

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 143 ways as a sum of consecutive naturals, for example, 103420744 + ... + 103420856.

It is an arithmetic number, because the mean of its divisors is an integer number (45559150).

Almost surely, 2^11686550400 is an apocalyptic number.

11686550400 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 11686550400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26242070400).

11686550400 is an abundant number, since it is smaller than the sum of its proper divisors (40797590400).

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

11686550400 is a wasteful number, since it uses less digits than its factorization.

11686550400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 11686550400 in words is "eleven billion, six hundred eighty-six million, five hundred fifty thousand, four hundred".