258298820956800 has 960 divisors, whose sum is σ = 1080527580871200. Its totient is φ = 60234851819520.

The previous prime is 258298820956777. The next prime is 258298820956801. The reversal of 258298820956800 is 8659028892852.

258298820956800 is a `hidden beast` number, since 2 + 5 + 8 + 298 + 8 + 209 + 56 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is not an unprimeable number, because it can be changed into a prime (258298820956801) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 62005147 + ... + 66039653.

Almost surely, 2^{258298820956800} is an apocalyptic number.

258298820956800 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 258298820956800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (540263790435600).

258298820956800 is an abundant number, since it is smaller than the sum of its proper divisors (822228759914400).

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

258298820956800 is a wasteful number, since it uses less digits than its factorization.

258298820956800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4034575 (or 4034549 counting only the distinct ones).

The product of its (nonzero) digits is 398131200, while the sum is 72.

The spelling of 258298820956800 in words is "two hundred fifty-eight trillion, two hundred ninety-eight billion, eight hundred twenty million, nine hundred fifty-six thousand, eight hundred".