256724572515460 has 192 divisors, whose sum is σ = 632740037529600. Its totient is φ = 85677795859968.

The previous prime is 256724572515451. The next prime is 256724572515527. The reversal of 256724572515460 is 64515275427652.

It is a super-2 number, since 2×256724572515460² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11790949134 + ... + 11790970906.

It is an arithmetic number, because the mean of its divisors is an integer number (3295521028800).

Almost surely, 2^{256724572515460} is an apocalyptic number.

256724572515460 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 256724572515460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316370018764800).

256724572515460 is an abundant number, since it is smaller than the sum of its proper divisors (376015465014140).

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

256724572515460 is a wasteful number, since it uses less digits than its factorization.

256724572515460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35810 (or 35808 counting only the distinct ones).

The product of its (nonzero) digits is 141120000, while the sum is 61.

The spelling of 256724572515460 in words is "two hundred fifty-six trillion, seven hundred twenty-four billion, five hundred seventy-two million, five hundred fifteen thousand, four hundred sixty".