258646872000 has 448 divisors, whose sum is σ = 956910090240. Its totient is φ = 61005312000.

The previous prime is 258646871999. The next prime is 258646872031. The reversal of 258646872000 is 278646852.

It is a Harshad number since it is a multiple of its sum of digits (48).

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 63 ways as a sum of consecutive naturals, for example, 9754761 + ... + 9781239.

Almost surely, 2^258646872000 is an apocalyptic number.

258646872000 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 258646872000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (478455045120).

258646872000 is an abundant number, since it is smaller than the sum of its proper divisors (698263218240).

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

258646872000 is a wasteful number, since it uses less digits than its factorization.

258646872000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26557 (or 26537 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 48.

The spelling of 258646872000 in words is "two hundred fifty-eight billion, six hundred forty-six million, eight hundred seventy-two thousand".