258007680000 has 1540 divisors, whose sum is σ = 1118327520640. Its totient is φ = 58226688000.

The previous prime is 258007679981. The next prime is 258007680023. The reversal of 258007680000 is 86700852.

258007680000 is a `hidden beast` number, since 2 + 580 + 0 + 76 + 8 + 0 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 139 ways as a sum of consecutive naturals, for example, 3265919961 + ... + 3265920039.

Almost surely, 2^258007680000 is an apocalyptic number.

258007680000 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 258007680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (559163760320).

258007680000 is an abundant number, since it is smaller than the sum of its proper divisors (860319840640).

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

258007680000 is an frugal number, since it uses more digits than its factorization.

258007680000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 258007680000 in words is "two hundred fifty-eight billion, seven million, six hundred eighty thousand".