116710676409600 has 5184 divisors, whose sum is σ = 560329656606720. Its totient is φ = 23228566732800.

The previous prime is 116710676409563. The next prime is 116710676409617. The reversal of 116710676409600 is 6904676017611.

116710676409600 is a `hidden beast` number, since 1 + 1 + 6 + 7 + 106 + 76 + 409 + 60 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 484276665480 + ... + 484276665720.

Almost surely, 2^{116710676409600} is an apocalyptic number.

116710676409600 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 116710676409600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280164828303360).

116710676409600 is an abundant number, since it is smaller than the sum of its proper divisors (443618980197120).

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

116710676409600 is a wasteful number, since it uses less digits than its factorization.

116710676409600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 435 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The spelling of 116710676409600 in words is "one hundred sixteen trillion, seven hundred ten billion, six hundred seventy-six million, four hundred nine thousand, six hundred".