116953934400 has 672 divisors, whose sum is σ = 454653578880. Its totient is φ = 29143203840.

The previous prime is 116953934359. The next prime is 116953934411. The reversal of 116953934400 is 4439359611.

116953934400 is a `hidden beast` number, since 1 + 169 + 53 + 9 + 34 + 400 = 666.

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 95 ways as a sum of consecutive naturals, for example, 119706712 + ... + 119707688.

Almost surely, 2^116953934400 is an apocalyptic number.

116953934400 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 116953934400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227326789440).

116953934400 is an abundant number, since it is smaller than the sum of its proper divisors (337699644480).

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

116953934400 is a wasteful number, since it uses less digits than its factorization.

116953934400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1188 (or 1167 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The spelling of 116953934400 in words is "one hundred sixteen billion, nine hundred fifty-three million, nine hundred thirty-four thousand, four hundred".