2553540595200 has 480 divisors, whose sum is σ = 10711707621120. Its totient is φ = 583665868800.

The previous prime is 2553540595157. The next prime is 2553540595223. The reversal of 2553540595200 is 25950453552.

It is a happy number.

2553540595200 is a `hidden beast` number, since 2 + 5 + 5 + 3 + 54 + 0 + 595 + 2 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1891435 + ... + 2946965.

It is an arithmetic number, because the mean of its divisors is an integer number (22316057544).

Almost surely, 2^{2553540595200} is an apocalyptic number.

2553540595200 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 2553540595200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5355853810560).

2553540595200 is an abundant number, since it is smaller than the sum of its proper divisors (8158167025920).

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

2553540595200 is a wasteful number, since it uses less digits than its factorization.

2553540595200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1055575 (or 1055548 counting only the distinct ones).

The product of its (nonzero) digits is 1350000, while the sum is 45.

The spelling of 2553540595200 in words is "two trillion, five hundred fifty-three billion, five hundred forty million, five hundred ninety-five thousand, two hundred".