162872007480 has 1152 divisors, whose sum is σ = 722652840000. Its totient is φ = 31408570368.

The previous prime is 162872007437. The next prime is 162872007497. The reversal of 162872007480 is 84700278261.

162872007480 is a `hidden beast` number, since 162 + 8 + 7 + 2 + 0 + 0 + 7 + 480 = 666.

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 (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 126354676 + ... + 126355964.

Almost surely, 2^162872007480 is an apocalyptic number.

162872007480 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 162872007480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361326420000).

162872007480 is an abundant number, since it is smaller than the sum of its proper divisors (559780832520).

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

162872007480 is a wasteful number, since it uses less digits than its factorization.

162872007480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1381 (or 1367 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The spelling of 162872007480 in words is "one hundred sixty-two billion, eight hundred seventy-two million, seven thousand, four hundred eighty".