355080800256 has 576 divisors, whose sum is σ = 1196617968000. Its totient is φ = 93553754112.

The previous prime is 355080800233. The next prime is 355080800303. The reversal of 355080800256 is 652008080553.

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 47 ways as a sum of consecutive naturals, for example, 356148750 + ... + 356149746.

It is an arithmetic number, because the mean of its divisors is an integer number (2077461750).

Almost surely, 2^355080800256 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 355080800256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (598308984000).

355080800256 is an abundant number, since it is smaller than the sum of its proper divisors (841537167744).

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

355080800256 is an equidigital number, since it uses as much as digits as its factorization.

355080800256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1069 (or 1022 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 42.

The spelling of 355080800256 in words is "three hundred fifty-five billion, eighty million, eight hundred thousand, two hundred fifty-six".