116757993594240 has 640 divisors, whose sum is σ = 421178762426400. Its totient is φ = 30821422399488.

The previous prime is 116757993594227. The next prime is 116757993594259. The reversal of 116757993594240 is 42495399757611.

116757993594240 is a `hidden beast` number, since 1 + 1 + 6 + 7 + 5 + 7 + 9 + 9 + 3 + 594 + 24 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×116757993594240² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

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 79 ways as a sum of consecutive naturals, for example, 4856203659 + ... + 4856227701.

Almost surely, 2^{116757993594240} is an apocalyptic number.

116757993594240 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 116757993594240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210589381213200).

116757993594240 is an abundant number, since it is smaller than the sum of its proper divisors (304420768832160).

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

116757993594240 is a wasteful number, since it uses less digits than its factorization.

116757993594240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25016 (or 24995 counting only the distinct ones).

The product of its (nonzero) digits is 514382400, while the sum is 72.

The spelling of 116757993594240 in words is "one hundred sixteen trillion, seven hundred fifty-seven billion, nine hundred ninety-three million, five hundred ninety-four thousand, two hundred forty".