162580427520 has 1152 divisors, whose sum is σ = 678150144000. Its totient is φ = 32310558720.

The previous prime is 162580427507. The next prime is 162580427549. The reversal of 162580427520 is 25724085261.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 325812231 + ... + 325812729.

It is an arithmetic number, because the mean of its divisors is an integer number (588672000).

Almost surely, 2^162580427520 is an apocalyptic number.

162580427520 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 162580427520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339075072000).

162580427520 is an abundant number, since it is smaller than the sum of its proper divisors (515569716480).

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

162580427520 is a wasteful number, since it uses less digits than its factorization.

162580427520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 601 (or 587 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 42.

The spelling of 162580427520 in words is "one hundred sixty-two billion, five hundred eighty million, four hundred twenty-seven thousand, five hundred twenty".