256240972800 has 792 divisors, whose sum is σ = 1007827119936. Its totient is φ = 64284917760.

The previous prime is 256240972787. The next prime is 256240972837. The reversal of 256240972800 is 8279042652.

256240972800 is a `hidden beast` number, since 2 + 562 + 4 + 0 + 9 + 7 + 2 + 80 + 0 = 666.

It is a super-2 number, since 2×256240972800² (a number of 24 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 71 ways as a sum of consecutive naturals, for example, 105752389 + ... + 105754811.

Almost surely, 2^256240972800 is an apocalyptic number.

256240972800 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 256240972800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (503913559968).

256240972800 is an abundant number, since it is smaller than the sum of its proper divisors (751586147136).

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

256240972800 is a wasteful number, since it uses less digits than its factorization.

256240972800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2485 (or 2450 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 256240972800 in words is "two hundred fifty-six billion, two hundred forty million, nine hundred seventy-two thousand, eight hundred".