116817361920 has 704 divisors, whose sum is σ = 482476262400. Its totient is φ = 26250117120.

The previous prime is 116817361901. The next prime is 116817361931. The reversal of 116817361920 is 29163718611.

116817361920 is a `hidden beast` number, since 1 + 1 + 6 + 8 + 1 + 7 + 3 + 619 + 20 = 666.

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 63 ways as a sum of consecutive naturals, for example, 59027491 + ... + 59029469.

It is an arithmetic number, because the mean of its divisors is an integer number (685335600).

Almost surely, 2^116817361920 is an apocalyptic number.

116817361920 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 116817361920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241238131200).

116817361920 is an abundant number, since it is smaller than the sum of its proper divisors (365658900480).

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

116817361920 is a wasteful number, since it uses less digits than its factorization.

116817361920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2081 (or 2057 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The spelling of 116817361920 in words is "one hundred sixteen billion, eight hundred seventeen million, three hundred sixty-one thousand, nine hundred twenty".