116315366722560 has 880 divisors, whose sum is σ = 422028212221440. Its totient is φ = 30630847610880.

The previous prime is 116315366722547. The next prime is 116315366722561. The reversal of 116315366722560 is 65227663513611.

116315366722560 is a `hidden beast` number, since 1 + 1 + 6 + 3 + 1 + 5 + 3 + 6 + 6 + 72 + 2 + 560 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 116315366722497 and 116315366722506.

It is not an unprimeable number, because it can be changed into a prime (116315366722561) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 14688134281 + ... + 14688142199.

It is an arithmetic number, because the mean of its divisors is an integer number (479577513888).

Almost surely, 2^{116315366722560} is an apocalyptic number.

116315366722560 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 116315366722560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211014106110720).

116315366722560 is an abundant number, since it is smaller than the sum of its proper divisors (305712845498880).

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

116315366722560 is a wasteful number, since it uses less digits than its factorization.

116315366722560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8394 (or 8367 counting only the distinct ones).

The product of its (nonzero) digits is 8164800, while the sum is 54.

The spelling of 116315366722560 in words is "one hundred sixteen trillion, three hundred fifteen billion, three hundred sixty-six million, seven hundred twenty-two thousand, five hundred sixty".