258496842240000 has 7800 divisors, whose sum is σ = 1284811917829440. Its totient is φ = 51167821824000.

The previous prime is 258496842239989. The next prime is 258496842240071. The reversal of 258496842240000 is 42248694852.

258496842240000 is a `hidden beast` number, since 2 + 58 + 4 + 96 + 84 + 22 + 400 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (7800).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 599 ways as a sum of consecutive naturals, for example, 2509678079949 + ... + 2509678080051.

Almost surely, 2^{258496842240000} is an apocalyptic number.

258496842240000 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 258496842240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (642405958914720).

258496842240000 is an abundant number, since it is smaller than the sum of its proper divisors (1026315075589440).

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

258496842240000 is a wasteful number, since it uses less digits than its factorization.

258496842240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 8847360, while the sum is 54.

The spelling of 258496842240000 in words is "two hundred fifty-eight trillion, four hundred ninety-six billion, eight hundred forty-two million, two hundred forty thousand".