2553425434400 has 216 divisors, whose sum is σ = 6449409250452. Its totient is φ = 987151104000.

The previous prime is 2553425434349. The next prime is 2553425434471. The reversal of 2553425434400 is 44345243552.

It can be written as a sum of positive squares in 6 ways, for example, as 1904388960016 + 649036474384 = 1379996^2 + 805628^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 784943174 + ... + 784946426.

Almost surely, 2^{2553425434400} is an apocalyptic number.

2553425434400 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 2553425434400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3224704625226).

2553425434400 is an abundant number, since it is smaller than the sum of its proper divisors (3895983816052).

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

2553425434400 is a wasteful number, since it uses less digits than its factorization.

2553425434400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4356 (or 4312 counting only the distinct ones).

The product of its (nonzero) digits is 1152000, while the sum is 41.

The spelling of 2553425434400 in words is "two trillion, five hundred fifty-three billion, four hundred twenty-five million, four hundred thirty-four thousand, four hundred".