2253656250020 has 192 divisors, whose sum is σ = 5537223659520. Its totient is φ = 754599654912.

The previous prime is 2253656249963. The next prime is 2253656250031. The reversal of 2253656250020 is 200526563522.

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 63 ways as a sum of consecutive naturals, for example, 359833409 + ... + 359839671.

It is an arithmetic number, because the mean of its divisors is an integer number (28839706560).

Almost surely, 2^{2253656250020} is an apocalyptic number.

2253656250020 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 2253656250020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2768611829760).

2253656250020 is an abundant number, since it is smaller than the sum of its proper divisors (3283567409500).

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

2253656250020 is a wasteful number, since it uses less digits than its factorization.

2253656250020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6714 (or 6712 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 38.

The spelling of 2253656250020 in words is "two trillion, two hundred fifty-three billion, six hundred fifty-six million, two hundred fifty thousand, twenty".