258495268560 has 160 divisors (see below), whose sum is σ = 836565884928. Its totient is φ = 65904284160.

The previous prime is 258495268531. The next prime is 258495268613. The reversal of 258495268560 is 65862594852.

It is a super-3 number, since 3×258495268560³ (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 258495268494 and 258495268503.

It is a congruent number.

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, 13299009 + ... + 13318431.

Almost surely, 2^258495268560 is an apocalyptic number.

258495268560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 258495268560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (418282942464).

258495268560 is an abundant number, since it is smaller than the sum of its proper divisors (578070616368).

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

258495268560 is a wasteful number, since it uses less digits than its factorization.

258495268560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21873 (or 21867 counting only the distinct ones).

The product of its (nonzero) digits is 41472000, while the sum is 60.

The spelling of 258495268560 in words is "two hundred fifty-eight billion, four hundred ninety-five million, two hundred sixty-eight thousand, five hundred sixty".