2256127776000 has 2304 divisors, whose sum is σ = 10162833408000. Its totient is φ = 491774976000.

The previous prime is 2256127775999. The next prime is 2256127776011. The reversal of 2256127776000 is 6777216522.

2256127776000 is a `hidden beast` number, since 2 + 2 + 561 + 27 + 7 + 7 + 60 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a super-2 number, since 2×2256127776000² (a number of 26 digits) contains 22 as substring.

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

It is a congruent number.

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 255 ways as a sum of consecutive naturals, for example, 6816095835 + ... + 6816096165.

It is an arithmetic number, because the mean of its divisors is an integer number (4410952000).

Almost surely, 2^{2256127776000} is an apocalyptic number.

2256127776000 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 2256127776000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5081416704000).

2256127776000 is an abundant number, since it is smaller than the sum of its proper divisors (7906705632000).

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

2256127776000 is an equidigital number, since it uses as much as digits as its factorization.

2256127776000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 493920, while the sum is 45.

The spelling of 2256127776000 in words is "two trillion, two hundred fifty-six billion, one hundred twenty-seven million, seven hundred seventy-six thousand".