256519635150240 has 576 divisors, whose sum is σ = 1148815217571840. Its totient is φ = 50497371371520.

The previous prime is 256519635150227. The next prime is 256519635150263. The reversal of 256519635150240 is 42051536915652.

256519635150240 is a `hidden beast` number, since 2 + 5 + 6 + 5 + 1 + 96 + 3 + 5 + 1 + 502 + 40 = 666.

It is a super-2 number, since 2×256519635150240² (a number of 30 digits) contains 22 as substring.

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, 58774564 + ... + 62988003.

It is an arithmetic number, because the mean of its divisors is an integer number (1994470863840).

Almost surely, 2^{256519635150240} is an apocalyptic number.

256519635150240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

256519635150240 is an abundant number, since it is smaller than the sum of its proper divisors (892295582421600).

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

256519635150240 is a wasteful number, since it uses less digits than its factorization.

256519635150240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121762625 (or 121762614 counting only the distinct ones).

The product of its (nonzero) digits is 9720000, while the sum is 54.

The spelling of 256519635150240 in words is "two hundred fifty-six trillion, five hundred nineteen billion, six hundred thirty-five million, one hundred fifty thousand, two hundred forty".