258768535784 has 128 divisors (see below), whose sum is σ = 547622985600. Its totient is φ = 113629824000.

The previous prime is 258768535783. The next prime is 258768535829. The reversal of 258768535784 is 487535867852.

It is a super-2 number, since 2×258768535784² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (258768535783) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 151414322 + ... + 151416030.

It is an arithmetic number, because the mean of its divisors is an integer number (4278304575).

Almost surely, 2^258768535784 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 258768535784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273811492800).

258768535784 is an abundant number, since it is smaller than the sum of its proper divisors (288854449816).

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

258768535784 is a wasteful number, since it uses less digits than its factorization.

258768535784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2275 (or 2271 counting only the distinct ones).

The product of its digits is 451584000, while the sum is 68.

The spelling of 258768535784 in words is "two hundred fifty-eight billion, seven hundred sixty-eight million, five hundred thirty-five thousand, seven hundred eighty-four".