256497518592 has 576 divisors, whose sum is σ = 887908694400. Its totient is φ = 72559411200.

The previous prime is 256497518587. The next prime is 256497518677. The reversal of 256497518592 is 295815794652.

256497518592 is a `hidden beast` number, since 2 + 5 + 6 + 497 + 51 + 8 + 5 + 92 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2539579342 + ... + 2539579442.

It is an arithmetic number, because the mean of its divisors is an integer number (1541508150).

Almost surely, 2^256497518592 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 256497518592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (443954347200).

256497518592 is an abundant number, since it is smaller than the sum of its proper divisors (631411175808).

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

256497518592 is an frugal number, since it uses more digits than its factorization.

256497518592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 113 counting only the distinct ones).

The product of its digits is 54432000, while the sum is 63.

The spelling of 256497518592 in words is "two hundred fifty-six billion, four hundred ninety-seven million, five hundred eighteen thousand, five hundred ninety-two".