116012661557760 has 2560 divisors, whose sum is σ = 498616236518400. Its totient is φ = 25550467891200.

The previous prime is 116012661557759. The next prime is 116012661557783. The reversal of 116012661557760 is 67755166210611.

116012661557760 is a `hidden beast` number, since 1 + 1 + 6 + 0 + 1 + 2 + 6 + 6 + 1 + 5 + 577 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (2560).

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 = 116012661557697 and 116012661557706.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 30361856650 + ... + 30361860470.

It is an arithmetic number, because the mean of its divisors is an integer number (194771967390).

Almost surely, 2^{116012661557760} is an apocalyptic number.

116012661557760 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 116012661557760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249308118259200).

116012661557760 is an abundant number, since it is smaller than the sum of its proper divisors (382603574960640).

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

116012661557760 is an equidigital number, since it uses as much as digits as its factorization.

116012661557760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3922 (or 3888 counting only the distinct ones).

The product of its (nonzero) digits is 3175200, while the sum is 54.

The spelling of 116012661557760 in words is "one hundred sixteen trillion, twelve billion, six hundred sixty-one million, five hundred fifty-seven thousand, seven hundred sixty".