258262743816 has 320 divisors, whose sum is σ = 903730608000. Its totient is φ = 66942858240.

The previous prime is 258262743799. The next prime is 258262743841. The reversal of 258262743816 is 618347262852.

258262743816 is a `hidden beast` number, since 2 + 5 + 8 + 2 + 627 + 4 + 3 + 8 + 1 + 6 = 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 79 ways as a sum of consecutive naturals, for example, 25391980 + ... + 25402148.

It is an arithmetic number, because the mean of its divisors is an integer number (2824158150).

Almost surely, 2^258262743816 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 258262743816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (451865304000).

258262743816 is an abundant number, since it is smaller than the sum of its proper divisors (645467864184).

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

258262743816 is a wasteful number, since it uses less digits than its factorization.

258262743816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10714 (or 10701 counting only the distinct ones).

The product of its digits is 7741440, while the sum is 54.

The spelling of 258262743816 in words is "two hundred fifty-eight billion, two hundred sixty-two million, seven hundred forty-three thousand, eight hundred sixteen".