258986721886560 has 144 divisors (see below), whose sum is σ = 884071619789904. Its totient is φ = 69041289931776.

The previous prime is 258986721886537. The next prime is 258986721886561. The reversal of 258986721886560 is 65688127689852.

258986721886560 is a `hidden beast` number, since 2 + 589 + 8 + 6 + 7 + 21 + 8 + 8 + 6 + 5 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×258986721886560² (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 258986721886560.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (258986721886561) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23875867 + ... + 32985306.

It is an arithmetic number, because the mean of its divisors is an integer number (6139386248541).

Almost surely, 2^{258986721886560} is an apocalyptic number.

258986721886560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

258986721886560 is an abundant number, since it is smaller than the sum of its proper divisors (625084897903344).

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

258986721886560 is a wasteful number, since it uses less digits than its factorization.

258986721886560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56864357 (or 56864346 counting only the distinct ones).

The product of its (nonzero) digits is 5573836800, while the sum is 81.

The spelling of 258986721886560 in words is "two hundred fifty-eight trillion, nine hundred eighty-six billion, seven hundred twenty-one million, eight hundred eighty-six thousand, five hundred sixty".