162100366560 has 1536 divisors, whose sum is σ = 705438720000. Its totient is φ = 34252554240.

The previous prime is 162100366559. The next prime is 162100366661. The reversal of 162100366560 is 65663001261.

162100366560 is a `hidden beast` number, since 1 + 62 + 1 + 0 + 0 + 36 + 6 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 905588551 + ... + 905588729.

It is an arithmetic number, because the mean of its divisors is an integer number (459270000).

Almost surely, 2^162100366560 is an apocalyptic number.

162100366560 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 162100366560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352719360000).

162100366560 is an abundant number, since it is smaller than the sum of its proper divisors (543338353440).

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

162100366560 is a wasteful number, since it uses less digits than its factorization.

162100366560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 162100366560 in words is "one hundred sixty-two billion, one hundred million, three hundred sixty-six thousand, five hundred sixty".