162505900800 has 324 divisors, whose sum is σ = 585203924760. Its totient is φ = 43021025280.

The previous prime is 162505900789. The next prime is 162505900811. The reversal of 162505900800 is 8009505261.

It is a happy number.

162505900800 is a `hidden beast` number, since 1 + 62 + 5 + 0 + 590 + 0 + 8 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (162505900789) and next prime (162505900811).

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7996252 + ... + 8016548.

Almost surely, 2^162505900800 is an apocalyptic number.

162505900800 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 162505900800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292601962380).

162505900800 is an abundant number, since it is smaller than the sum of its proper divisors (422698023960).

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

162505900800 is a wasteful number, since it uses less digits than its factorization.

162505900800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20468 (or 20446 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The spelling of 162505900800 in words is "one hundred sixty-two billion, five hundred five million, nine hundred thousand, eight hundred".