2553219910800 has 480 divisors, whose sum is σ = 9822095928960. Its totient is φ = 626206464000.

The previous prime is 2553219910799. The next prime is 2553219910819. The reversal of 2553219910800 is 80199123552.

2553219910800 is a `hidden beast` number, since 2 + 5 + 532 + 1 + 9 + 9 + 108 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 38857975 + ... + 38923625.

It is an arithmetic number, because the mean of its divisors is an integer number (20462699852).

Almost surely, 2^{2553219910800} is an apocalyptic number.

2553219910800 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 2553219910800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4911047964480).

2553219910800 is an abundant number, since it is smaller than the sum of its proper divisors (7268876018160).

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

2553219910800 is a wasteful number, since it uses less digits than its factorization.

2553219910800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65968 (or 65951 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 45.

The spelling of 2553219910800 in words is "two trillion, five hundred fifty-three billion, two hundred nineteen million, nine hundred ten thousand, eight hundred".