160538713920 has 1008 divisors, whose sum is σ = 650390792688. Its totient is φ = 36097228800.

The previous prime is 160538713913. The next prime is 160538713931. The reversal of 160538713920 is 29317835061.

160538713920 is a `hidden beast` number, since 1 + 60 + 538 + 7 + 1 + 39 + 20 = 666.

It can be written as a sum of positive squares in 24 ways, for example, as 5485476096 + 155053237824 = 74064^2 + 393768^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

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 143 ways as a sum of consecutive naturals, for example, 400345720 + ... + 400346120.

It is an arithmetic number, because the mean of its divisors is an integer number (645228961).

Almost surely, 2^160538713920 is an apocalyptic number.

160538713920 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 160538713920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325195396344).

160538713920 is an abundant number, since it is smaller than the sum of its proper divisors (489852078768).

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

160538713920 is a wasteful number, since it uses less digits than its factorization.

160538713920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 508 (or 478 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 160538713920 in words is "one hundred sixty billion, five hundred thirty-eight million, seven hundred thirteen thousand, nine hundred twenty".