116775927915840 has 1008 divisors, whose sum is σ = 419422191424704. Its totient is φ = 29819051458560.

The previous prime is 116775927915839. The next prime is 116775927915859. The reversal of 116775927915840 is 48519729577611.

116775927915840 is a `hidden beast` number, since 1 + 16 + 7 + 7 + 5 + 9 + 27 + 9 + 1 + 584 + 0 = 666.

It is a super-2 number, since 2×116775927915840² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 141204265507 + ... + 141204266333.

Almost surely, 2^{116775927915840} is an apocalyptic number.

116775927915840 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 116775927915840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209711095712352).

116775927915840 is an abundant number, since it is smaller than the sum of its proper divisors (302646263508864).

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

116775927915840 is a wasteful number, since it uses less digits than its factorization.

116775927915840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1388 (or 1344 counting only the distinct ones).

The product of its (nonzero) digits is 266716800, while the sum is 72.

The spelling of 116775927915840 in words is "one hundred sixteen trillion, seven hundred seventy-five billion, nine hundred twenty-seven million, nine hundred fifteen thousand, eight hundred forty".