2253116620800 has 540 divisors, whose sum is σ = 8155417557196. Its totient is φ = 594542592000.

The previous prime is 2253116620771. The next prime is 2253116620813. The reversal of 2253116620800 is 80266113522.

2253116620800 is a `hidden beast` number, since 2 + 25 + 3 + 1 + 1 + 6 + 620 + 8 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 26384154624 + 2226732466176 = 162432^2 + 1492224^2 .

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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 357577650 + ... + 357583950.

Almost surely, 2^{2253116620800} is an apocalyptic number.

2253116620800 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 2253116620800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4077708778598).

2253116620800 is an abundant number, since it is smaller than the sum of its proper divisors (5902300936396).

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

2253116620800 is an equidigital number, since it uses as much as digits as its factorization.

2253116620800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6442 (or 6408 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 2253116620800 in words is "two trillion, two hundred fifty-three billion, one hundred sixteen million, six hundred twenty thousand, eight hundred".