162759079080 has 512 divisors, whose sum is σ = 622508544000. Its totient is φ = 37492761600.

The previous prime is 162759079039. The next prime is 162759079097. The reversal of 162759079080 is 80970957261.

162759079080 is a `hidden beast` number, since 1 + 627 + 5 + 9 + 0 + 7 + 9 + 0 + 8 + 0 = 666.

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 127 ways as a sum of consecutive naturals, for example, 22137405 + ... + 22144755.

It is an arithmetic number, because the mean of its divisors is an integer number (1215837000).

Almost surely, 2^162759079080 is an apocalyptic number.

162759079080 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 162759079080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311254272000).

162759079080 is an abundant number, since it is smaller than the sum of its proper divisors (459749464920).

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

162759079080 is a wasteful number, since it uses less digits than its factorization.

162759079080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7486 (or 7476 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 54.

The spelling of 162759079080 in words is "one hundred sixty-two billion, seven hundred fifty-nine million, seventy-nine thousand, eighty".