160056211814400 has 2304 divisors, whose sum is σ = 636245057710080. Its totient is φ = 35052008243200.

The previous prime is 160056211814393. The next prime is 160056211814437. The reversal of 160056211814400 is 4418112650061.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 71549490082 + ... + 71549492318.

It is an arithmetic number, because the mean of its divisors is an integer number (276148028520).

Almost surely, 2^{160056211814400} is an apocalyptic number.

160056211814400 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 160056211814400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318122528855040).

160056211814400 is an abundant number, since it is smaller than the sum of its proper divisors (476188845895680).

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

160056211814400 is a wasteful number, since it uses less digits than its factorization.

160056211814400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2400 (or 2375 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 39.

The spelling of 160056211814400 in words is "one hundred sixty trillion, fifty-six billion, two hundred eleven million, eight hundred fourteen thousand, four hundred".