258493795560 has 768 divisors, whose sum is σ = 1165713292800. Its totient is φ = 49578946560.

The previous prime is 258493795529. The next prime is 258493795589. The reversal of 258493795560 is 65597394852.

258493795560 is a `hidden beast` number, since 2 + 5 + 8 + 4 + 9 + 3 + 79 + 556 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 11881012 + ... + 11902748.

It is an arithmetic number, because the mean of its divisors is an integer number (1517855850).

Almost surely, 2^258493795560 is an apocalyptic number.

258493795560 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 258493795560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (582856646400).

258493795560 is an abundant number, since it is smaller than the sum of its proper divisors (907219497240).

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

258493795560 is a wasteful number, since it uses less digits than its factorization.

258493795560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21799 (or 21778 counting only the distinct ones).

The product of its (nonzero) digits is 81648000, while the sum is 63.

The spelling of 258493795560 in words is "two hundred fifty-eight billion, four hundred ninety-three million, seven hundred ninety-five thousand, five hundred sixty".