161310517285320 has 3456 divisors, whose sum is σ = 657982379658240. Its totient is φ = 35476356464640.

The previous prime is 161310517285319. The next prime is 161310517285339. The reversal of 161310517285320 is 23582715013161.

161310517285320 is a `hidden beast` number, since 1 + 6 + 1 + 3 + 105 + 1 + 7 + 2 + 8 + 532 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 863 ways as a sum of consecutive naturals, for example, 1427526701584 + ... + 1427526701696.

It is an arithmetic number, because the mean of its divisors is an integer number (190388420040).

Almost surely, 2^{161310517285320} is an apocalyptic number.

161310517285320 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 161310517285320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328991189829120).

161310517285320 is an abundant number, since it is smaller than the sum of its proper divisors (496671862372920).

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

161310517285320 is a wasteful number, since it uses less digits than its factorization.

161310517285320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The spelling of 161310517285320 in words is "one hundred sixty-one trillion, three hundred ten billion, five hundred seventeen million, two hundred eighty-five thousand, three hundred twenty".