2253156825600 has 960 divisors, whose sum is σ = 8793583603200. Its totient is φ = 565072035840.

The previous prime is 2253156825539. The next prime is 2253156825611. The reversal of 2253156825600 is 65286513522.

2253156825600 is a `hidden beast` number, since 2 + 2 + 5 + 3 + 1 + 5 + 6 + 82 + 560 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1697932137 + ... + 1697933463.

It is an arithmetic number, because the mean of its divisors is an integer number (9159982920).

Almost surely, 2^{2253156825600} is an apocalyptic number.

2253156825600 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 2253156825600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4396791801600).

2253156825600 is an abundant number, since it is smaller than the sum of its proper divisors (6540426777600).

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

2253156825600 is an equidigital number, since it uses as much as digits as its factorization.

2253156825600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1415 (or 1354 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 45.

The spelling of 2253156825600 in words is "two trillion, two hundred fifty-three billion, one hundred fifty-six million, eight hundred twenty-five thousand, six hundred".