258827988160 has 336 divisors, whose sum is σ = 759827446560. Its totient is φ = 83585187840.

The previous prime is 258827988151. The next prime is 258827988169. The reversal of 258827988160 is 61889728852.

It is an interprime number because it is at equal distance from previous prime (258827988151) and next prime (258827988169).

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a junction number, because it is equal to n+sod(n) for n = 258827988092 and 258827988101.

It is not an unprimeable number, because it can be changed into a prime (258827988169) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 18636579 + ... + 18650461.

It is an arithmetic number, because the mean of its divisors is an integer number (2261391210).

Almost surely, 2^258827988160 is an apocalyptic number.

258827988160 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 258827988160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379913723280).

258827988160 is an abundant number, since it is smaller than the sum of its proper divisors (500999458400).

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

258827988160 is a wasteful number, since it uses less digits than its factorization.

258827988160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13984 (or 13967 counting only the distinct ones).

The product of its (nonzero) digits is 30965760, while the sum is 64.

The spelling of 258827988160 in words is "two hundred fifty-eight billion, eight hundred twenty-seven million, nine hundred eighty-eight thousand, one hundred sixty".