256366503792 has 480 divisors, whose sum is σ = 897917529600. Its totient is φ = 68588494848.

The previous prime is 256366503779. The next prime is 256366503817. The reversal of 256366503792 is 297305663652.

256366503792 is a `hidden beast` number, since 2 + 5 + 6 + 3 + 66 + 503 + 79 + 2 = 666.

256366503792 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 (54).

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 203626459 + ... + 203627717.

It is an arithmetic number, because the mean of its divisors is an integer number (1870661520).

Almost surely, 2^256366503792 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 256366503792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (448958764800).

256366503792 is an abundant number, since it is smaller than the sum of its proper divisors (641551025808).

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

256366503792 is a wasteful number, since it uses less digits than its factorization.

256366503792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1550 (or 1521 counting only the distinct ones).

The product of its (nonzero) digits is 12247200, while the sum is 54.

The spelling of 256366503792 in words is "two hundred fifty-six billion, three hundred sixty-six million, five hundred three thousand, seven hundred ninety-two".