359080120080 has 480 divisors, whose sum is σ = 1377168998400. Its totient is φ = 83051136000.

The previous prime is 359080120073. The next prime is 359080120109. The reversal of 359080120080 is 80021080953.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 17421621 + ... + 17442219.

It is an arithmetic number, because the mean of its divisors is an integer number (2869102080).

Almost surely, 2^359080120080 is an apocalyptic number.

359080120080 is a gapful number since it is divisible by the number (30) 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 359080120080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (688584499200).

359080120080 is an abundant number, since it is smaller than the sum of its proper divisors (1018088878320).

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

359080120080 is a wasteful number, since it uses less digits than its factorization.

359080120080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20731 (or 20722 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 359080120080 in words is "three hundred fifty-nine billion, eighty million, one hundred twenty thousand, eighty".