162111994560 has 672 divisors, whose sum is σ = 625005201600. Its totient is φ = 38326763520.

The previous prime is 162111994511. The next prime is 162111994609. The reversal of 162111994560 is 65499111261.

162111994560 is a `hidden beast` number, since 1 + 6 + 2 + 1 + 1 + 199 + 456 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (162111994511) and next prime (162111994609).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 213024580 + ... + 213025340.

Almost surely, 2^162111994560 is an apocalyptic number.

162111994560 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 162111994560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312502600800).

162111994560 is an abundant number, since it is smaller than the sum of its proper divisors (462893207040).

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

162111994560 is a wasteful number, since it uses less digits than its factorization.

162111994560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1049 (or 1036 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 45.

The spelling of 162111994560 in words is "one hundred sixty-two billion, one hundred eleven million, nine hundred ninety-four thousand, five hundred sixty".