2553679994496 has 256 divisors, whose sum is σ = 7087277260800. Its totient is φ = 813795840000.

The previous prime is 2553679994413. The next prime is 2553679994497. The reversal of 2553679994496 is 6944999763552.

It is not an unprimeable number, because it can be changed into a prime (2553679994497) 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, 357104521 + ... + 357111671.

It is an arithmetic number, because the mean of its divisors is an integer number (27684676800).

Almost surely, 2^{2553679994496} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2553679994496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3543638630400).

2553679994496 is an abundant number, since it is smaller than the sum of its proper divisors (4533597266304).

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

2553679994496 is a wasteful number, since it uses less digits than its factorization.

2553679994496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7559 (or 7547 counting only the distinct ones).

The product of its digits is 3968092800, while the sum is 78.

The spelling of 2553679994496 in words is "two trillion, five hundred fifty-three billion, six hundred seventy-nine million, nine hundred ninety-four thousand, four hundred ninety-six".