256723770751200 has 576 divisors, whose sum is σ = 930265959168000. Its totient is φ = 68328414627840.

The previous prime is 256723770751199. The next prime is 256723770751223. The reversal of 256723770751200 is 2157077327652.

256723770751200 is a `hidden beast` number, since 2 + 5 + 67 + 2 + 377 + 0 + 7 + 5 + 1 + 200 = 666.

It is a super-2 number, since 2×256723770751200² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 43314282637 + ... + 43314288563.

It is an arithmetic number, because the mean of its divisors is an integer number (1615045068000).

Almost surely, 2^{256723770751200} is an apocalyptic number.

256723770751200 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 256723770751200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (465132979584000).

256723770751200 is an abundant number, since it is smaller than the sum of its proper divisors (673542188416800).

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

256723770751200 is a wasteful number, since it uses less digits than its factorization.

256723770751200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9464 (or 9445 counting only the distinct ones).

The product of its (nonzero) digits is 8643600, while the sum is 54.

The spelling of 256723770751200 in words is "two hundred fifty-six trillion, seven hundred twenty-three billion, seven hundred seventy million, seven hundred fifty-one thousand, two hundred".