162713612328960 has 5376 divisors, whose sum is σ = 732558594539520. Its totient is φ = 30083855155200.

The previous prime is 162713612328863. The next prime is 162713612328979. The reversal of 162713612328960 is 69823216317261.

It is a tau number, because it is divible by the number of its divisors (5376).

It is a self number, because there is not a number n which added to its sum of digits gives 162713612328960.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 3461991751657 + ... + 3461991751703.

It is an arithmetic number, because the mean of its divisors is an integer number (136264619520).

Almost surely, 2^{162713612328960} is an apocalyptic number.

162713612328960 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 162713612328960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366279297269760).

162713612328960 is an abundant number, since it is smaller than the sum of its proper divisors (569844982210560).

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

162713612328960 is a wasteful number, since it uses less digits than its factorization.

162713612328960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 57.

The spelling of 162713612328960 in words is "one hundred sixty-two trillion, seven hundred thirteen billion, six hundred twelve million, three hundred twenty-eight thousand, nine hundred sixty".