258881261760 has 840 divisors, whose sum is σ = 1019779936560. Its totient is φ = 62291496960.

The previous prime is 258881261753. The next prime is 258881261761. The reversal of 258881261760 is 67162188852.

258881261760 is a `hidden beast` number, since 2 + 5 + 8 + 8 + 8 + 12 + 617 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 258881261697 and 258881261706.

It is not an unprimeable number, because it can be changed into a prime (258881261761) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 617854831 + ... + 617855249.

It is an arithmetic number, because the mean of its divisors is an integer number (1214023734).

Almost surely, 2^258881261760 is an apocalyptic number.

258881261760 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 258881261760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (509889968280).

258881261760 is an abundant number, since it is smaller than the sum of its proper divisors (760898674800).

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

258881261760 is a wasteful number, since it uses less digits than its factorization.

258881261760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 667 (or 637 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 54.

The spelling of 258881261760 in words is "two hundred fifty-eight billion, eight hundred eighty-one million, two hundred sixty-one thousand, seven hundred sixty".