8150458880 has 320 divisors, whose sum is σ = 21737358720. Its totient is φ = 2919628800.

The previous prime is 8150458859. The next prime is 8150458909. The reversal of 8150458880 is 888540518.

It is a tau number, because it is divible by the number of its divisors (320).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 121648607 + ... + 121648673.

It is an arithmetic number, because the mean of its divisors is an integer number (67929246).

Almost surely, 2^8150458880 is an apocalyptic number.

8150458880 is a gapful number since it is divisible by the number (80) 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 8150458880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10868679360).

8150458880 is an abundant number, since it is smaller than the sum of its proper divisors (13586899840).

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

8150458880 is a wasteful number, since it uses less digits than its factorization.

8150458880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 409600, while the sum is 47.

The square root of 8150458880 is about 90279.8918918272. The cubic root of 8150458880 is about 2012.4604474050.

The spelling of 8150458880 in words is "eight billion, one hundred fifty million, four hundred fifty-eight thousand, eight hundred eighty".