2256127473600 has 6048 divisors, whose sum is σ = 12295861014528. Its totient is φ = 394149888000.

The previous prime is 2256127473563. The next prime is 2256127473671. The reversal of 2256127473600 is 63747216522.

2256127473600 is a `hidden beast` number, since 2 + 2 + 56 + 127 + 473 + 6 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (6048).

It is a super-2 number, since 2×2256127473600² (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 polite number, since it can be written in 863 ways as a sum of consecutive naturals, for example, 72778305585 + ... + 72778305615.

Almost surely, 2^{2256127473600} is an apocalyptic number.

2256127473600 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 2256127473600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6147930507264).

2256127473600 is an abundant number, since it is smaller than the sum of its proper divisors (10039733540928).

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

2256127473600 is a wasteful number, since it uses less digits than its factorization.

2256127473600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The spelling of 2256127473600 in words is "two trillion, two hundred fifty-six billion, one hundred twenty-seven million, four hundred seventy-three thousand, six hundred".