259902597704778 has 192 divisors, whose sum is σ = 696451351744512. Its totient is φ = 71026264869120.

The previous prime is 259902597704741. The next prime is 259902597704791. The reversal of 259902597704778 is 877407795209952.

259902597704778 is a `hidden beast` number, since 2 + 5 + 9 + 90 + 2 + 59 + 7 + 7 + 0 + 477 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a junction number, because it is equal to n+sod(n) for n = 259902597704697 and 259902597704706.

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, 2337387163 + ... + 2337498353.

It is an arithmetic number, because the mean of its divisors is an integer number (3627350790336).

Almost surely, 2^{259902597704778} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 259902597704778, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348225675872256).

259902597704778 is an abundant number, since it is smaller than the sum of its proper divisors (436548754039734).

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

259902597704778 is a wasteful number, since it uses less digits than its factorization.

259902597704778 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141111 (or 141099 counting only the distinct ones).

The product of its (nonzero) digits is 5601052800, while the sum is 81.

The spelling of 259902597704778 in words is "two hundred fifty-nine trillion, nine hundred two billion, five hundred ninety-seven million, seven hundred four thousand, seven hundred seventy-eight".