2253891225600 has 1440 divisors, whose sum is σ = 10103912058240. Its totient is φ = 484764549120.

The previous prime is 2253891225533. The next prime is 2253891225631. The reversal of 2253891225600 is 65221983522.

2253891225600 is a `hidden beast` number, since 2 + 2 + 5 + 3 + 8 + 9 + 12 + 25 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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 (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 493514517 + ... + 493519083.

It is an arithmetic number, because the mean of its divisors is an integer number (7016605596).

Almost surely, 2^{2253891225600} is an apocalyptic number.

2253891225600 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 2253891225600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5051956029120).

2253891225600 is an abundant number, since it is smaller than the sum of its proper divisors (7850020832640).

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

2253891225600 is a wasteful number, since it uses less digits than its factorization.

2253891225600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4635 (or 4601 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 2253891225600 in words is "two trillion, two hundred fifty-three billion, eight hundred ninety-one million, two hundred twenty-five thousand, six hundred".