2256123828600 has 1152 divisors, whose sum is σ = 8623323072000. Its totient is φ = 546009569280.

The previous prime is 2256123828599. The next prime is 2256123828617. The reversal of 2256123828600 is 68283216522.

2256123828600 is a `hidden beast` number, since 2 + 2 + 5 + 6 + 1 + 2 + 38 + 2 + 8 + 600 = 666.

2256123828600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 287 ways as a sum of consecutive naturals, for example, 4632697557 + ... + 4632698043.

It is an arithmetic number, because the mean of its divisors is an integer number (7485523500).

Almost surely, 2^{2256123828600} is an apocalyptic number.

2256123828600 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 2256123828600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4311661536000).

2256123828600 is an abundant number, since it is smaller than the sum of its proper divisors (6367199243400).

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

2256123828600 is a wasteful number, since it uses less digits than its factorization.

2256123828600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 739 (or 718 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 2256123828600 in words is "two trillion, two hundred fifty-six billion, one hundred twenty-three million, eight hundred twenty-eight thousand, six hundred".