162552096000 has 2160 divisors, whose sum is σ = 758069824512. Its totient is φ = 33841152000.

The previous prime is 162552095977. The next prime is 162552096043. The reversal of 162552096000 is 690255261.

162552096000 is a `hidden beast` number, since 1 + 6 + 25 + 5 + 20 + 9 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

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 239 ways as a sum of consecutive naturals, for example, 5243615985 + ... + 5243616015.

Almost surely, 2^162552096000 is an apocalyptic number.

162552096000 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 162552096000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379034912256).

162552096000 is an abundant number, since it is smaller than the sum of its proper divisors (595517728512).

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

162552096000 is an equidigital number, since it uses as much as digits as its factorization.

162552096000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The spelling of 162552096000 in words is "one hundred sixty-two billion, five hundred fifty-two million, ninety-six thousand".