258961819704 has 256 divisors, whose sum is σ = 779442048000. Its totient is φ = 71621222400.

The previous prime is 258961819681. The next prime is 258961819777. The reversal of 258961819704 is 407918169852.

It is a super-2 number, since 2×258961819704² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 44211144 + ... + 44217000.

It is an arithmetic number, because the mean of its divisors is an integer number (3044695500).

Almost surely, 2^258961819704 is an apocalyptic number.

258961819704 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 258961819704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389721024000).

258961819704 is an abundant number, since it is smaller than the sum of its proper divisors (520480228296).

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

258961819704 is a wasteful number, since it uses less digits than its factorization.

258961819704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6059 (or 6041 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 60.

The spelling of 258961819704 in words is "two hundred fifty-eight billion, nine hundred sixty-one million, eight hundred nineteen thousand, seven hundred four".