2256795573760 has 320 divisors, whose sum is σ = 6698332029312. Its totient is φ = 710097371136.

The previous prime is 2256795573691. The next prime is 2256795573763. The reversal of 2256795573760 is 673755976522.

It is a happy number.

2256795573760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (320).

It is a hoax number, since the sum of its digits (64) 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 (64).

It is a junction number, because it is equal to n+sod(n) for n = 2256795573692 and 2256795573701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2256795573763) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40274082 + ... + 40330078.

Almost surely, 2^{2256795573760} is an apocalyptic number.

2256795573760 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 2256795573760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3349166014656).

2256795573760 is an abundant number, since it is smaller than the sum of its proper divisors (4441536455552).

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

2256795573760 is a wasteful number, since it uses less digits than its factorization.

2256795573760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56213 (or 56197 counting only the distinct ones).

The product of its (nonzero) digits is 166698000, while the sum is 64.

The spelling of 2256795573760 in words is "two trillion, two hundred fifty-six billion, seven hundred ninety-five million, five hundred seventy-three thousand, seven hundred sixty".