116755670599680 has 768 divisors, whose sum is σ = 456723167846400. Its totient is φ = 24867911761920.

The previous prime is 116755670599657. The next prime is 116755670599739. The reversal of 116755670599680 is 86995076557611.

It is a tau number, because it is divible by the number of its divisors (768).

It is a super-2 number, since 2×116755670599680² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 248997129 + ... + 249465591.

It is an arithmetic number, because the mean of its divisors is an integer number (594691624800).

Almost surely, 2^{116755670599680} is an apocalyptic number.

116755670599680 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 116755670599680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228361583923200).

116755670599680 is an abundant number, since it is smaller than the sum of its proper divisors (339967497246720).

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

116755670599680 is a wasteful number, since it uses less digits than its factorization.

116755670599680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 468580 (or 468560 counting only the distinct ones).

The product of its (nonzero) digits is 857304000, while the sum is 75.

The spelling of 116755670599680 in words is "one hundred sixteen trillion, seven hundred fifty-five billion, six hundred seventy million, five hundred ninety-nine thousand, six hundred eighty".