2553412355520 has 224 divisors, whose sum is σ = 8737955510592. Its totient is φ = 628010385408.

The previous prime is 2553412355497. The next prime is 2553412355521. The reversal of 2553412355520 is 255532143552.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2553412355521) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15053904 + ... + 15222576.

It is an arithmetic number, because the mean of its divisors is an integer number (39008729958).

Almost surely, 2^{2553412355520} is an apocalyptic number.

2553412355520 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 2553412355520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4368977755296).

2553412355520 is an abundant number, since it is smaller than the sum of its proper divisors (6184543155072).

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

2553412355520 is a wasteful number, since it uses less digits than its factorization.

2553412355520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169919 (or 169909 counting only the distinct ones).

The product of its (nonzero) digits is 900000, while the sum is 42.

The spelling of 2553412355520 in words is "two trillion, five hundred fifty-three billion, four hundred twelve million, three hundred fifty-five thousand, five hundred twenty".