258855295104 has 384 divisors, whose sum is σ = 921225876480. Its totient is φ = 70741693440.

The previous prime is 258855295091. The next prime is 258855295129. The reversal of 258855295104 is 401592558852.

258855295104 is a `hidden beast` number, since 2 + 5 + 8 + 8 + 5 + 529 + 5 + 104 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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 47 ways as a sum of consecutive naturals, for example, 4981899 + ... + 5033589.

It is an arithmetic number, because the mean of its divisors is an integer number (2399025720).

Almost surely, 2^258855295104 is an apocalyptic number.

258855295104 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 258855295104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (460612938240).

258855295104 is an abundant number, since it is smaller than the sum of its proper divisors (662370581376).

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

258855295104 is an equidigital number, since it uses as much as digits as its factorization.

258855295104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51750 (or 51726 counting only the distinct ones).

The product of its (nonzero) digits is 5760000, while the sum is 54.

The spelling of 258855295104 in words is "two hundred fifty-eight billion, eight hundred fifty-five million, two hundred ninety-five thousand, one hundred four".