256258590399792 has 400 divisors, whose sum is σ = 786201197760000. Its totient is φ = 80356253741568.

The previous prime is 256258590399769. The next prime is 256258590399793. The reversal of 256258590399792 is 297993095852652.

256258590399792 is a `hidden beast` number, since 2 + 5 + 6 + 2 + 58 + 5 + 90 + 399 + 7 + 92 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is not an unprimeable number, because it can be changed into a prime (256258590399793) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 14965744543 + ... + 14965761665.

It is an arithmetic number, because the mean of its divisors is an integer number (1965502994400).

Almost surely, 2^{256258590399792} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 256258590399792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393100598880000).

256258590399792 is an abundant number, since it is smaller than the sum of its proper divisors (529942607360208).

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

256258590399792 is a wasteful number, since it uses less digits than its factorization.

256258590399792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21390 (or 21375 counting only the distinct ones).

The product of its (nonzero) digits is 6613488000, while the sum is 81.

The spelling of 256258590399792 in words is "two hundred fifty-six trillion, two hundred fifty-eight billion, five hundred ninety million, three hundred ninety-nine thousand, seven hundred ninety-two".