116264034754560 has 2352 divisors, whose sum is σ = 525624304490208. Its totient is φ = 24153505136640.

The previous prime is 116264034754507. The next prime is 116264034754579. The reversal of 116264034754560 is 65457430462611.

116264034754560 is a `hidden beast` number, since 1 + 1 + 6 + 2 + 6 + 4 + 0 + 3 + 4 + 75 + 4 + 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 = 116264034754497 and 116264034754506.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 25291282182 + ... + 25291286778.

Almost surely, 2^{116264034754560} is an apocalyptic number.

116264034754560 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 116264034754560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262812152245104).

116264034754560 is an abundant number, since it is smaller than the sum of its proper divisors (409360269735648).

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

116264034754560 is an frugal number, since it uses more digits than its factorization.

116264034754560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4675 (or 4625 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 54.

The spelling of 116264034754560 in words is "one hundred sixteen trillion, two hundred sixty-four billion, thirty-four million, seven hundred fifty-four thousand, five hundred sixty".