116755772400 has 90 divisors (see below), whose sum is σ = 405174974880. Its totient is φ = 31134871680.

The previous prime is 116755772389. The next prime is 116755772417. The reversal of 116755772400 is 4277557611.

116755772400 is a `hidden beast` number, since 1 + 1 + 6 + 75 + 577 + 2 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (90).

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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 16212480 + ... + 16219679.

Almost surely, 2^116755772400 is an apocalyptic number.

116755772400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

116755772400 is an abundant number, since it is smaller than the sum of its proper divisors (288419202480).

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

116755772400 is a wasteful number, since it uses less digits than its factorization.

116755772400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32432183 (or 32432169 counting only the distinct ones).

The product of its (nonzero) digits is 411600, while the sum is 45.

The spelling of 116755772400 in words is "one hundred sixteen billion, seven hundred fifty-five million, seven hundred seventy-two thousand, four hundred".