2553588323280 has 960 divisors, whose sum is σ = 9775426332672. Its totient is φ = 594171002880.

The previous prime is 2553588323257. The next prime is 2553588323309. The reversal of 2553588323280 is 823238853552.

2553588323280 is a `hidden beast` number, since 2 + 5 + 5 + 3 + 588 + 32 + 3 + 28 + 0 = 666.

It is a congruent number.

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, 864742284 + ... + 864745236.

Almost surely, 2^{2553588323280} is an apocalyptic number.

2553588323280 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 2553588323280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4887713166336).

2553588323280 is an abundant number, since it is smaller than the sum of its proper divisors (7221838009392).

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

2553588323280 is a wasteful number, since it uses less digits than its factorization.

2553588323280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3116 (or 3107 counting only the distinct ones).

The product of its (nonzero) digits is 13824000, while the sum is 54.

The spelling of 2553588323280 in words is "two trillion, five hundred fifty-three billion, five hundred eighty-eight million, three hundred twenty-three thousand, two hundred eighty".