258247929742852 has 24 divisors (see below), whose sum is σ = 546877968868224. Its totient is φ = 104167232164992.

The previous prime is 258247929742813. The next prime is 258247929742861.

It is a happy number.

258247929742852 is nontrivially palindromic in base 10.

It is a hoax number, since the sum of its digits (76) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 271268833288 + ... + 271268834239.

It is an arithmetic number, because the mean of its divisors is an integer number (22786582036176).

Almost surely, 2^{258247929742852} is an apocalyptic number.

It is an amenable number.

258247929742852 is an abundant number, since it is smaller than the sum of its proper divisors (288630039125372).

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

258247929742852 is a wasteful number, since it uses less digits than its factorization.

258247929742852 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 542537667555 (or 542537667553 counting only the distinct ones).

The product of its digits is 3251404800, while the sum is 76.

The spelling of 258247929742852 in words is "two hundred fifty-eight trillion, two hundred forty-seven billion, nine hundred twenty-nine million, seven hundred forty-two thousand, eight hundred fifty-two".