258289861553280 has 896 divisors, whose sum is σ = 982654928924400. Its totient is φ = 64666380533760.

The previous prime is 258289861553279. The next prime is 258289861553323. The reversal of 258289861553280 is 82355168982852.

258289861553280 is a `hidden beast` number, since 2 + 5 + 8 + 2 + 8 + 9 + 8 + 6 + 1 + 5 + 532 + 80 = 666.

258289861553280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 168000793326144 + 90289068227136 = 12961512^2 + 9502056^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 258289861553199 and 258289861553208.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 3243951870 + ... + 3244031490.

Almost surely, 2^{258289861553280} is an apocalyptic number.

258289861553280 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 258289861553280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491327464462200).

258289861553280 is an abundant number, since it is smaller than the sum of its proper divisors (724365067371120).

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

258289861553280 is an equidigital number, since it uses as much as digits as its factorization.

258289861553280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80084 (or 80057 counting only the distinct ones).

The product of its (nonzero) digits is 663552000, while the sum is 72.

The spelling of 258289861553280 in words is "two hundred fifty-eight trillion, two hundred eighty-nine billion, eight hundred sixty-one million, five hundred fifty-three thousand, two hundred eighty".