160507008000 has 880 divisors, whose sum is σ = 607871453904. Its totient is φ = 42113433600.

The previous prime is 160507007971. The next prime is 160507008059. The reversal of 160507008000 is 800705061.

It can be written as a sum of positive squares in 8 ways, for example, as 96566805504 + 63940202496 = 310752^2 + 252864^2 .

It is a super-2 number, since 2×160507008000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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 79 ways as a sum of consecutive naturals, for example, 1171583932 + ... + 1171584068.

Almost surely, 2^160507008000 is an apocalyptic number.

160507008000 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 160507008000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303935726952).

160507008000 is an abundant number, since it is smaller than the sum of its proper divisors (447364445904).

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

160507008000 is a wasteful number, since it uses less digits than its factorization.

160507008000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The spelling of 160507008000 in words is "one hundred sixty billion, five hundred seven million, eight thousand".