160557917520000 has 2560 divisors, whose sum is σ = 725700069642240. Its totient is φ = 30359347200000.

The previous prime is 160557917519971. The next prime is 160557917520073. The reversal of 160557917520000 is 25719755061.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

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 319 ways as a sum of consecutive naturals, for example, 17057035294 + ... + 17057044706.

It is an arithmetic number, because the mean of its divisors is an integer number (283476589704).

Almost surely, 2^{160557917520000} is an apocalyptic number.

160557917520000 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 160557917520000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362850034821120).

160557917520000 is an abundant number, since it is smaller than the sum of its proper divisors (565142152122240).

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

160557917520000 is a wasteful number, since it uses less digits than its factorization.

160557917520000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9552 (or 9525 counting only the distinct ones).

The product of its (nonzero) digits is 661500, while the sum is 48.

The spelling of 160557917520000 in words is "one hundred sixty trillion, five hundred fifty-seven billion, nine hundred seventeen million, five hundred twenty thousand".