258704409673920 has 224 divisors, whose sum is σ = 957885133248000. Its totient is φ = 59132436421632.

The previous prime is 258704409673891. The next prime is 258704409673949. The reversal of 258704409673920 is 29376904407852.

It is an interprime number because it is at equal distance from previous prime (258704409673891) and next prime (258704409673949).

It is a tau number, because it is divible by the number of its divisors (224).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 392504190 + ... + 393162749.

Almost surely, 2^{258704409673920} is an apocalyptic number.

258704409673920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

258704409673920 is an abundant number, since it is smaller than the sum of its proper divisors (699180723574080).

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

258704409673920 is an equidigital number, since it uses as much as digits as its factorization.

258704409673920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 785666980 (or 785666956 counting only the distinct ones).

The product of its (nonzero) digits is 182891520, while the sum is 66.

The spelling of 258704409673920 in words is "two hundred fifty-eight trillion, seven hundred four billion, four hundred nine million, six hundred seventy-three thousand, nine hundred twenty".