258983827200 has 2160 divisors, whose sum is σ = 1192378682880. Its totient is φ = 54159114240.

The previous prime is 258983827183. The next prime is 258983827237. The reversal of 258983827200 is 2728389852.

It is a happy number.

258983827200 is a `hidden beast` number, since 2 + 58 + 9 + 8 + 382 + 7 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 2420409547 + ... + 2420409653.

It is an arithmetic number, because the mean of its divisors is an integer number (552027168).

Almost surely, 2^258983827200 is an apocalyptic number.

258983827200 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 258983827200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (596189341440).

258983827200 is an abundant number, since it is smaller than the sum of its proper divisors (933394855680).

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

258983827200 is a wasteful number, since it uses less digits than its factorization.

258983827200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 258983827200 in words is "two hundred fifty-eight billion, nine hundred eighty-three million, eight hundred twenty-seven thousand, two hundred".