116781356160 has 576 divisors, whose sum is σ = 472658322240. Its totient is φ = 26026721280.

The previous prime is 116781356149. The next prime is 116781356207. The reversal of 116781356160 is 61653187611.

116781356160 is a `hidden beast` number, since 1 + 1 + 6 + 7 + 81 + 3 + 561 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 67777059 + ... + 67778781.

It is an arithmetic number, because the mean of its divisors is an integer number (820587365).

Almost surely, 2^116781356160 is an apocalyptic number.

116781356160 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 116781356160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236329161120).

116781356160 is an abundant number, since it is smaller than the sum of its proper divisors (355876966080).

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

116781356160 is a wasteful number, since it uses less digits than its factorization.

116781356160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1837 (or 1781 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 116781356160 in words is "one hundred sixteen billion, seven hundred eighty-one million, three hundred fifty-six thousand, one hundred sixty".