258722861988864 has 3168 divisors, whose sum is σ = 961629823264320. Its totient is φ = 61203403505664.

The previous prime is 258722861988853. The next prime is 258722861988869. The reversal of 258722861988864 is 468889168227852.

It is a Harshad number since it is a multiple of its sum of digits (84).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (258722861988869) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1495507872682 + ... + 1495507872854.

Almost surely, 2^{258722861988864} is an apocalyptic number.

258722861988864 is a gapful number since it is divisible by the number (24) 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 258722861988864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (480814911632160).

258722861988864 is an abundant number, since it is smaller than the sum of its proper divisors (702906961275456).

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

258722861988864 is a wasteful number, since it uses less digits than its factorization.

258722861988864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363 (or 319 counting only the distinct ones).

The product of its digits is 11890851840, while the sum is 84.

The spelling of 258722861988864 in words is "two hundred fifty-eight trillion, seven hundred twenty-two billion, eight hundred sixty-one million, nine hundred eighty-eight thousand, eight hundred sixty-four".