116567836560 has 640 divisors, whose sum is σ = 479255040000. Its totient is φ = 26017334784.

The previous prime is 116567836549. The next prime is 116567836591. The reversal of 116567836560 is 65638765611.

116567836560 is a `hidden beast` number, since 1 + 1 + 6 + 5 + 6 + 78 + 3 + 6 + 560 = 666.

116567836560 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 = 116567836497 and 116567836506.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 31856011 + ... + 31859669.

It is an arithmetic number, because the mean of its divisors is an integer number (748836000).

Almost surely, 2^116567836560 is an apocalyptic number.

116567836560 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 116567836560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239627520000).

116567836560 is an abundant number, since it is smaller than the sum of its proper divisors (362687203440).

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

116567836560 is a wasteful number, since it uses less digits than its factorization.

116567836560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3745 (or 3719 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 116567836560 in words is "one hundred sixteen billion, five hundred sixty-seven million, eight hundred thirty-six thousand, five hundred sixty".