116415673920 has 2016 divisors, whose sum is σ = 546392770560. Its totient is φ = 22481141760.

The previous prime is 116415673903. The next prime is 116415673967. The reversal of 116415673920 is 29376514611.

116415673920 is a `hidden beast` number, since 1 + 1 + 64 + 1 + 567 + 3 + 9 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1308041236 + ... + 1308041324.

It is an arithmetic number, because the mean of its divisors is an integer number (271028160).

Almost surely, 2^116415673920 is an apocalyptic number.

116415673920 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 116415673920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273196385280).

116415673920 is an abundant number, since it is smaller than the sum of its proper divisors (429977096640).

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

116415673920 is a wasteful number, since it uses less digits than its factorization.

116415673920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 116415673920 in words is "one hundred sixteen billion, four hundred fifteen million, six hundred seventy-three thousand, nine hundred twenty".