116806132800 has 1008 divisors, whose sum is σ = 507060403200. Its totient is φ = 24908083200.

The previous prime is 116806132787. The next prime is 116806132811. The reversal of 116806132800 is 8231608611.

116806132800 is a `hidden beast` number, since 1 + 16 + 8 + 0 + 613 + 28 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 135978771 + ... + 135979629.

Almost surely, 2^116806132800 is an apocalyptic number.

116806132800 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 116806132800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253530201600).

116806132800 is an abundant number, since it is smaller than the sum of its proper divisors (390254270400).

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

116806132800 is a wasteful number, since it uses less digits than its factorization.

116806132800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 984 (or 966 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 116806132800 in words is "one hundred sixteen billion, eight hundred six million, one hundred thirty-two thousand, eight hundred".