160878604118400 has 1152 divisors, whose sum is σ = 716166358252800. Its totient is φ = 34836848271360.

The previous prime is 160878604118357. The next prime is 160878604118417. The reversal of 160878604118400 is 4811406878061.

160878604118400 is a `hidden beast` number, since 1 + 60 + 8 + 7 + 8 + 60 + 4 + 118 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 102643014 + ... + 104198586.

Almost surely, 2^{160878604118400} is an apocalyptic number.

160878604118400 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 160878604118400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358083179126400).

160878604118400 is an abundant number, since it is smaller than the sum of its proper divisors (555287754134400).

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

160878604118400 is a wasteful number, since it uses less digits than its factorization.

160878604118400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1555638 (or 1555609 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 54.

The spelling of 160878604118400 in words is "one hundred sixty trillion, eight hundred seventy-eight billion, six hundred four million, one hundred eighteen thousand, four hundred".