259254139086816 has 192 divisors, whose sum is σ = 733709957621760. Its totient is φ = 79990931220480.

The previous prime is 259254139086769. The next prime is 259254139086851. The reversal of 259254139086816 is 618680931452952.

It is a super-2 number, since 2×259254139086816² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13456431 + ... + 26449646.

It is an arithmetic number, because the mean of its divisors is an integer number (3821406029280).

Almost surely, 2^{259254139086816} is an apocalyptic number.

It is an amenable number.

259254139086816 is an abundant number, since it is smaller than the sum of its proper divisors (474455818534944).

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

259254139086816 is a wasteful number, since it uses less digits than its factorization.

259254139086816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39906217 (or 39906209 counting only the distinct ones).

The product of its (nonzero) digits is 223948800, while the sum is 69.

The spelling of 259254139086816 in words is "two hundred fifty-nine trillion, two hundred fifty-four billion, one hundred thirty-nine million, eighty-six thousand, eight hundred sixteen".