258531201792 has 360 divisors, whose sum is σ = 785970939600. Its totient is φ = 84509319168.

The previous prime is 258531201791. The next prime is 258531201793. The reversal of 258531201792 is 297102135852.

258531201792 is a `hidden beast` number, since 2 + 5 + 8 + 531 + 20 + 1 + 7 + 92 = 666.

It is an interprime number because it is at equal distance from previous prime (258531201791) and next prime (258531201793).

It is a super-2 number, since 2×258531201792² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (258531201791) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 241843434 + ... + 241844502.

It is an arithmetic number, because the mean of its divisors is an integer number (2183252610).

Almost surely, 2^258531201792 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 258531201792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392985469800).

258531201792 is an abundant number, since it is smaller than the sum of its proper divisors (527439737808).

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

258531201792 is a wasteful number, since it uses less digits than its factorization.

258531201792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1313 (or 1290 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The spelling of 258531201792 in words is "two hundred fifty-eight billion, five hundred thirty-one million, two hundred one thousand, seven hundred ninety-two".