258997012560 has 480 divisors, whose sum is σ = 1023518740608. Its totient is φ = 57863393280.

The previous prime is 258997012553. The next prime is 258997012643. The reversal of 258997012560 is 65210799852.

258997012560 is a `hidden beast` number, since 2 + 5 + 8 + 9 + 9 + 70 + 1 + 2 + 560 = 666.

258997012560 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 258997012497 and 258997012506.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 77939059 + ... + 77942381.

Almost surely, 2^258997012560 is an apocalyptic number.

258997012560 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 258997012560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (511759370304).

258997012560 is an abundant number, since it is smaller than the sum of its proper divisors (764521728048).

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

258997012560 is a wasteful number, since it uses less digits than its factorization.

258997012560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4123 (or 4114 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 54.

The spelling of 258997012560 in words is "two hundred fifty-eight billion, nine hundred ninety-seven million, twelve thousand, five hundred sixty".