256879123200 has 1080 divisors, whose sum is σ = 1123375286880. Its totient is φ = 56667340800.

The previous prime is 256879123181. The next prime is 256879123211. The reversal of 256879123200 is 2321978652.

256879123200 is a `hidden beast` number, since 2 + 568 + 79 + 12 + 3 + 2 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

It is a super-4 number, since 4×256879123200⁴ (a number of 47 digits) contains 4444 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 119 ways as a sum of consecutive naturals, for example, 105233980 + ... + 105236420.

Almost surely, 2^256879123200 is an apocalyptic number.

256879123200 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 256879123200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (561687643440).

256879123200 is an abundant number, since it is smaller than the sum of its proper divisors (866496163680).

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

256879123200 is a wasteful number, since it uses less digits than its factorization.

256879123200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2515 (or 2487 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 256879123200 in words is "two hundred fifty-six billion, eight hundred seventy-nine million, one hundred twenty-three thousand, two hundred".