258110378496 has 320 divisors, whose sum is σ = 775756776960. Its totient is φ = 84726190080.

The previous prime is 258110378483. The next prime is 258110378501. The reversal of 258110378496 is 694873011852.

258110378496 is a `hidden beast` number, since 2 + 5 + 8 + 110 + 37 + 8 + 496 = 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 31 ways as a sum of consecutive naturals, for example, 312104035 + ... + 312104861.

It is an arithmetic number, because the mean of its divisors is an integer number (2424239928).

It is a 1-persistent number, because it is pandigital, but 2⋅258110378496 = 516220756992 is not.

Almost surely, 2^258110378496 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 258110378496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387878388480).

258110378496 is an abundant number, since it is smaller than the sum of its proper divisors (517646398464).

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

258110378496 is a wasteful number, since it uses less digits than its factorization.

258110378496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1172 (or 1150 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 258110378496 in words is "two hundred fifty-eight billion, one hundred ten million, three hundred seventy-eight thousand, four hundred ninety-six".