162867956040 has 256 divisors, whose sum is σ = 570833049600. Its totient is φ = 41225184000.

The previous prime is 162867956039. The next prime is 162867956071. The reversal of 162867956040 is 40659768261.

162867956040 is a `hidden beast` number, since 1 + 6 + 2 + 8 + 6 + 79 + 560 + 4 + 0 = 666.

It is a super-2 number, since 2×162867956040² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3229015 + ... + 3279065.

It is an arithmetic number, because the mean of its divisors is an integer number (2229816600).

Almost surely, 2^162867956040 is an apocalyptic number.

162867956040 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 162867956040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285416524800).

162867956040 is an abundant number, since it is smaller than the sum of its proper divisors (407965093560).

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

162867956040 is a wasteful number, since it uses less digits than its factorization.

162867956040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50225 (or 50215 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 162867956040 in words is "one hundred sixty-two billion, eight hundred sixty-seven million, nine hundred fifty-six thousand, forty".