160272957348504 has 1280 divisors, whose sum is σ = 637789991731200. Its totient is φ = 36213472742400.

The previous prime is 160272957348499. The next prime is 160272957348587. The reversal of 160272957348504 is 405843759272061.

It is a happy number.

160272957348504 is a `hidden beast` number, since 1 + 6 + 0 + 2 + 7 + 2 + 9 + 573 + 4 + 8 + 50 + 4 = 666.

It is a super-2 number, since 2×160272957348504² (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 2353909549 + ... + 2353977635.

It is an arithmetic number, because the mean of its divisors is an integer number (498273431040).

It is a 2-persistent number, because it is pandigital, and so is 2⋅160272957348504 = 320545914697008, but 3⋅160272957348504 = 480818872045512 is not.

Almost surely, 2^{160272957348504} is an apocalyptic number.

160272957348504 is a gapful number since it is divisible by the number (14) 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 160272957348504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318894995865600).

160272957348504 is an abundant number, since it is smaller than the sum of its proper divisors (477517034382696).

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

160272957348504 is a wasteful number, since it uses less digits than its factorization.

160272957348504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68346 (or 68333 counting only the distinct ones).

The product of its (nonzero) digits is 101606400, while the sum is 63.

The spelling of 160272957348504 in words is "one hundred sixty trillion, two hundred seventy-two billion, nine hundred fifty-seven million, three hundred forty-eight thousand, five hundred four".