116634022560 has 576 divisors, whose sum is σ = 453624312960. Its totient is φ = 27036426240.

The previous prime is 116634022559. The next prime is 116634022579. The reversal of 116634022560 is 65220436611.

116634022560 is a `hidden beast` number, since 1 + 1 + 66 + 34 + 0 + 2 + 2 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 34577034 + ... + 34580406.

It is an arithmetic number, because the mean of its divisors is an integer number (787542210).

Almost surely, 2^116634022560 is an apocalyptic number.

116634022560 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 116634022560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226812156480).

116634022560 is an abundant number, since it is smaller than the sum of its proper divisors (336990290400).

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

116634022560 is a wasteful number, since it uses less digits than its factorization.

116634022560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3501 (or 3490 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 116634022560 in words is "one hundred sixteen billion, six hundred thirty-four million, twenty-two thousand, five hundred sixty".