258817217204880 has 1600 divisors, whose sum is σ = 958379175806976. Its totient is φ = 64640581632000.

The previous prime is 258817217204879. The next prime is 258817217204881. The reversal of 258817217204880 is 88402712718852.

It is a happy number.

258817217204880 is a `hidden beast` number, since 2 + 5 + 8 + 81 + 7 + 2 + 1 + 72 + 0 + 488 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (258817217204879) and next prime (258817217204881).

It is not an unprimeable number, because it can be changed into a prime (258817217204881) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 403771009360 + ... + 403771010000.

Almost surely, 2^{258817217204880} is an apocalyptic number.

258817217204880 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 258817217204880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (479189587903488).

258817217204880 is an abundant number, since it is smaller than the sum of its proper divisors (699561958602096).

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

258817217204880 is a wasteful number, since it uses less digits than its factorization.

258817217204880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1238 (or 1223 counting only the distinct ones).

The product of its (nonzero) digits is 32112640, while the sum is 63.

The spelling of 258817217204880 in words is "two hundred fifty-eight trillion, eight hundred seventeen billion, two hundred seventeen million, two hundred four thousand, eight hundred eighty".