160745314763880 has 1024 divisors, whose sum is σ = 673872224256000. Its totient is φ = 33110201779200.

The previous prime is 160745314763801. The next prime is 160745314763893. The reversal of 160745314763880 is 88367413547061.

160745314763880 is a `hidden beast` number, since 1 + 6 + 0 + 7 + 4 + 53 + 1 + 476 + 38 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 10534451691 + ... + 10534466949.

It is an arithmetic number, because the mean of its divisors is an integer number (658078344000).

Almost surely, 2^{160745314763880} is an apocalyptic number.

160745314763880 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 160745314763880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336936112128000).

160745314763880 is an abundant number, since it is smaller than the sum of its proper divisors (513126909492120).

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

160745314763880 is a wasteful number, since it uses less digits than its factorization.

160745314763880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16395 (or 16385 counting only the distinct ones).

The product of its (nonzero) digits is 81285120, while the sum is 63.

The spelling of 160745314763880 in words is "one hundred sixty trillion, seven hundred forty-five billion, three hundred fourteen million, seven hundred sixty-three thousand, eight hundred eighty".