162535648800 has 144 divisors (see below), whose sum is σ = 604632676032. Its totient is φ = 37151001600.

The previous prime is 162535648783. The next prime is 162535648811. The reversal of 162535648800 is 8846535261.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 162535648800.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4820571 + ... + 4854170.

It is an arithmetic number, because the mean of its divisors is an integer number (4198838028).

Almost surely, 2^162535648800 is an apocalyptic number.

162535648800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

162535648800 is an abundant number, since it is smaller than the sum of its proper divisors (442097027232).

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

162535648800 is a wasteful number, since it uses less digits than its factorization.

162535648800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9674771 (or 9674758 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 48.

The spelling of 162535648800 in words is "one hundred sixty-two billion, five hundred thirty-five million, six hundred forty-eight thousand, eight hundred".