353255004442560 has 448 divisors, whose sum is σ = 1295923565445120. Its totient is φ = 80574978785280.

The previous prime is 353255004442531. The next prime is 353255004442573. The reversal of 353255004442560 is 65244400552353.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 579365377 + ... + 579974783.

Almost surely, 2^{353255004442560} is an apocalyptic number.

353255004442560 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 353255004442560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (647961782722560).

353255004442560 is an abundant number, since it is smaller than the sum of its proper divisors (942668561002560).

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

353255004442560 is a wasteful number, since it uses less digits than its factorization.

353255004442560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 612684 (or 612674 counting only the distinct ones).

The product of its (nonzero) digits is 8640000, while the sum is 48.

The spelling of 353255004442560 in words is "three hundred fifty-three trillion, two hundred fifty-five billion, four million, four hundred forty-two thousand, five hundred sixty".