259930644624 has 400 divisors, whose sum is σ = 889581158400. Its totient is φ = 71703740160.

The previous prime is 259930644577. The next prime is 259930644637. The reversal of 259930644624 is 426446039952.

259930644624 is a `hidden beast` number, since 2 + 5 + 9 + 9 + 3 + 0 + 6 + 4 + 4 + 624 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 168457197 + ... + 168458739.

It is an arithmetic number, because the mean of its divisors is an integer number (2223952896).

Almost surely, 2^259930644624 is an apocalyptic number.

259930644624 is a gapful number since it is divisible by the number (24) 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 259930644624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (444790579200).

259930644624 is an abundant number, since it is smaller than the sum of its proper divisors (629650513776).

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

259930644624 is a wasteful number, since it uses less digits than its factorization.

259930644624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2200 (or 2185 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 54.

The spelling of 259930644624 in words is "two hundred fifty-nine billion, nine hundred thirty million, six hundred forty-four thousand, six hundred twenty-four".