116759024640 has 440 divisors, whose sum is σ = 443036746152. Its totient is φ = 29302456320.

The previous prime is 116759024593. The next prime is 116759024651. The reversal of 116759024640 is 46420957611.

116759024640 is a `hidden beast` number, since 1 + 16 + 7 + 590 + 2 + 4 + 6 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3798503424 + 112960521216 = 61632^2 + 336096^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 7041960 + ... + 7058520.

Almost surely, 2^116759024640 is an apocalyptic number.

116759024640 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 116759024640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221518373076).

116759024640 is an abundant number, since it is smaller than the sum of its proper divisors (326277721512).

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

116759024640 is a wasteful number, since it uses less digits than its factorization.

116759024640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16615 (or 16588 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 116759024640 in words is "one hundred sixteen billion, seven hundred fifty-nine million, twenty-four thousand, six hundred forty".