162990213120 has 1152 divisors, whose sum is σ = 689713315200. Its totient is φ = 36390961152.

The previous prime is 162990213107. The next prime is 162990213131. The reversal of 162990213120 is 21312099261.

162990213120 is a `hidden beast` number, since 1 + 629 + 9 + 0 + 2 + 1 + 3 + 1 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 95 ways as a sum of consecutive naturals, for example, 718018447 + ... + 718018673.

It is an arithmetic number, because the mean of its divisors is an integer number (598709475).

Almost surely, 2^162990213120 is an apocalyptic number.

162990213120 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 162990213120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344856657600).

162990213120 is an abundant number, since it is smaller than the sum of its proper divisors (526723102080).

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

162990213120 is a wasteful number, since it uses less digits than its factorization.

162990213120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The spelling of 162990213120 in words is "one hundred sixty-two billion, nine hundred ninety million, two hundred thirteen thousand, one hundred twenty".