259950894840 has 1024 divisors, whose sum is σ = 1110896640000. Its totient is φ = 52589150208.

The previous prime is 259950894803. The next prime is 259950894877. The reversal of 259950894840 is 48498059952.

259950894840 is a `hidden beast` number, since 25 + 9 + 9 + 50 + 89 + 484 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (259950894803) and next prime (259950894877).

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 255 ways as a sum of consecutive naturals, for example, 635576556 + ... + 635576964.

It is an arithmetic number, because the mean of its divisors is an integer number (1084860000).

Almost surely, 2^259950894840 is an apocalyptic number.

259950894840 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 259950894840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (555448320000).

259950894840 is an abundant number, since it is smaller than the sum of its proper divisors (850945745160).

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

259950894840 is a wasteful number, since it uses less digits than its factorization.

259950894840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 701 (or 691 counting only the distinct ones).

The product of its (nonzero) digits is 37324800, while the sum is 63.

The spelling of 259950894840 in words is "two hundred fifty-nine billion, nine hundred fifty million, eight hundred ninety-four thousand, eight hundred forty".