2553464627200 has 336 divisors, whose sum is σ = 6774704844264. Its totient is φ = 951268147200.

The previous prime is 2553464627191. The next prime is 2553464627213. The reversal of 2553464627200 is 27264643552.

It can be written as a sum of positive squares in 12 ways, for example, as 138598354944 + 2414866272256 = 372288^2 + 1553984^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 337711420 + ... + 337718980.

Almost surely, 2^{2553464627200} is an apocalyptic number.

2553464627200 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 2553464627200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3387352422132).

2553464627200 is an abundant number, since it is smaller than the sum of its proper divisors (4221240217064).

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

2553464627200 is an equidigital number, since it uses as much as digits as its factorization.

2553464627200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7711 (or 7682 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 46.

The spelling of 2553464627200 in words is "two trillion, five hundred fifty-three billion, four hundred sixty-four million, six hundred twenty-seven thousand, two hundred".