2553005205504 has 480 divisors, whose sum is σ = 8325231674760. Its totient is φ = 774731464704.

The previous prime is 2553005205497. The next prime is 2553005205529. The reversal of 2553005205504 is 4055025003552.

2553005205504 is a `hidden beast` number, since 2 + 5 + 53 + 0 + 0 + 52 + 0 + 550 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2181978031104 + 371027174400 = 1477152^2 + 609120^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 157419604 + ... + 157435820.

Almost surely, 2^{2553005205504} is an apocalyptic number.

2553005205504 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 2553005205504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4162615837380).

2553005205504 is an abundant number, since it is smaller than the sum of its proper divisors (5772226469256).

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

2553005205504 is a wasteful number, since it uses less digits than its factorization.

2553005205504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16337 (or 16308 counting only the distinct ones).

The product of its (nonzero) digits is 150000, while the sum is 36.

The spelling of 2553005205504 in words is "two trillion, five hundred fifty-three billion, five million, two hundred five thousand, five hundred four".