160978387772160 has 2592 divisors, whose sum is σ = 710108393379840. Its totient is φ = 34743787094016.

The previous prime is 160978387772143. The next prime is 160978387772201. The reversal of 160978387772160 is 61277783879061.

160978387772160 is a `hidden beast` number, since 1 + 609 + 7 + 8 + 3 + 8 + 7 + 7 + 7 + 2 + 1 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2592).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 27692821414 + ... + 27692827226.

It is an arithmetic number, because the mean of its divisors is an integer number (273961571520).

Almost surely, 2^{160978387772160} is an apocalyptic number.

160978387772160 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 160978387772160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355054196689920).

160978387772160 is an abundant number, since it is smaller than the sum of its proper divisors (549130005607680).

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

160978387772160 is an equidigital number, since it uses as much as digits as its factorization.

160978387772160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5965 (or 5932 counting only the distinct ones).

The product of its (nonzero) digits is 298722816, while the sum is 72.

The spelling of 160978387772160 in words is "one hundred sixty trillion, nine hundred seventy-eight billion, three hundred eighty-seven million, seven hundred seventy-two thousand, one hundred sixty".