162612369920 has 1280 divisors, whose sum is σ = 570203504640. Its totient is φ = 42821222400.

The previous prime is 162612369901. The next prime is 162612370051. The reversal of 162612369920 is 29963216261.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1280).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1827105236 + ... + 1827105324.

It is an arithmetic number, because the mean of its divisors is an integer number (445471488).

Almost surely, 2^162612369920 is an apocalyptic number.

162612369920 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 162612369920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285101752320).

162612369920 is an abundant number, since it is smaller than the sum of its proper divisors (407591134720).

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

162612369920 is a wasteful number, since it uses less digits than its factorization.

162612369920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 47.

The spelling of 162612369920 in words is "one hundred sixty-two billion, six hundred twelve million, three hundred sixty-nine thousand, nine hundred twenty".