162664611120 has 240 divisors, whose sum is σ = 615168912384. Its totient is φ = 38161728000.

The previous prime is 162664611103. The next prime is 162664611121. The reversal of 162664611120 is 21116466261.

162664611120 is a `hidden beast` number, since 1 + 6 + 2 + 6 + 646 + 1 + 1 + 1 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is not an unprimeable number, because it can be changed into a prime (162664611121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 85746 + ... + 576785.

Almost surely, 2^162664611120 is an apocalyptic number.

162664611120 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 162664611120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307584456192).

162664611120 is an abundant number, since it is smaller than the sum of its proper divisors (452504301264).

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

162664611120 is a wasteful number, since it uses less digits than its factorization.

162664611120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 662592 (or 662583 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 162664611120 in words is "one hundred sixty-two billion, six hundred sixty-four million, six hundred eleven thousand, one hundred twenty".