2253789560880 has 960 divisors, whose sum is σ = 9308977187328. Its totient is φ = 499565076480.

The previous prime is 2253789560863. The next prime is 2253789560899. The reversal of 2253789560880 is 880659873522.

2253789560880 is a `hidden beast` number, since 2 + 2 + 537 + 8 + 95 + 6 + 0 + 8 + 8 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 297447652 + ... + 297455228.

Almost surely, 2^{2253789560880} is an apocalyptic number.

2253789560880 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 2253789560880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4654488593664).

2253789560880 is an abundant number, since it is smaller than the sum of its proper divisors (7055187626448).

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

2253789560880 is a wasteful number, since it uses less digits than its factorization.

2253789560880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7736 (or 7718 counting only the distinct ones).

The product of its (nonzero) digits is 58060800, while the sum is 63.

The spelling of 2253789560880 in words is "two trillion, two hundred fifty-three billion, seven hundred eighty-nine million, five hundred sixty thousand, eight hundred eighty".