2553116544 has 256 divisors, whose sum is σ = 8284032000. Its totient is φ = 767692800.

The previous prime is 2553116521. The next prime is 2553116581. The reversal of 2553116544 is 4456113552.

2553116544 is a `hidden beast` number, since 2 + 553 + 1 + 1 + 65 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2553116499 and 2553116508.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9085684 + ... + 9085964.

It is an arithmetic number, because the mean of its divisors is an integer number (32359500).

Almost surely, 2^2553116544 is an apocalyptic number.

2553116544 is a gapful number since it is divisible by the number (24) 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 2553116544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4142016000).

2553116544 is an abundant number, since it is smaller than the sum of its proper divisors (5730915456).

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

2553116544 is a wasteful number, since it uses less digits than its factorization.

2553116544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 554 (or 536 counting only the distinct ones).

The product of its digits is 72000, while the sum is 36.

The square root of 2553116544 is about 50528.3736528300. The cubic root of 2553116544 is about 1366.7535584122.

The spelling of 2553116544 in words is "two billion, five hundred fifty-three million, one hundred sixteen thousand, five hundred forty-four".