116715276216000 has 2240 divisors, whose sum is σ = 546378300509184. Its totient is φ = 23889862656000.

The previous prime is 116715276215971. The next prime is 116715276216043. The reversal of 116715276216000 is 612672517611.

116715276216000 is a `hidden beast` number, since 1 + 1 + 6 + 7 + 1 + 527 + 62 + 1 + 60 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2240).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 319 ways as a sum of consecutive naturals, for example, 3343014544 + ... + 3343049456.

Almost surely, 2^{116715276216000} is an apocalyptic number.

116715276216000 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 116715276216000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273189150254592).

116715276216000 is an abundant number, since it is smaller than the sum of its proper divisors (429663024293184).

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

116715276216000 is a wasteful number, since it uses less digits than its factorization.

116715276216000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35037 (or 35008 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The spelling of 116715276216000 in words is "one hundred sixteen trillion, seven hundred fifteen billion, two hundred seventy-six million, two hundred sixteen thousand".