229050057358080 has 1728 divisors, whose sum is σ = 947535568551936. Its totient is φ = 49985372160000.

The previous prime is 229050057357983. The next prime is 229050057358091. The reversal of 229050057358080 is 80853750050922.

229050057358080 is a `hidden beast` number, since 2 + 2 + 9 + 0 + 5 + 0 + 0 + 57 + 3 + 580 + 8 + 0 = 666.

229050057358080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 78522472782 + ... + 78522475698.

It is an arithmetic number, because the mean of its divisors is an integer number (548342342912).

Almost surely, 2^{229050057358080} is an apocalyptic number.

229050057358080 is a gapful number since it is divisible by the number (20) 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 229050057358080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (473767784275968).

229050057358080 is an abundant number, since it is smaller than the sum of its proper divisors (718485511193856).

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

229050057358080 is a wasteful number, since it uses less digits than its factorization.

229050057358080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3394 (or 3377 counting only the distinct ones).

The product of its (nonzero) digits is 6048000, while the sum is 54.

The spelling of 229050057358080 in words is "two hundred twenty-nine trillion, fifty billion, fifty-seven million, three hundred fifty-eight thousand, eighty".