258982001820 has 36 divisors (see below), whose sum is σ = 785578739400. Its totient is φ = 69061867104.

The previous prime is 258982001797. The next prime is 258982001827. The reversal of 258982001820 is 28100289852.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (258982001827) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 719394270 + ... + 719394629.

It is an arithmetic number, because the mean of its divisors is an integer number (21821631650).

Almost surely, 2^258982001820 is an apocalyptic number.

258982001820 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

258982001820 is an abundant number, since it is smaller than the sum of its proper divisors (526596737580).

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

258982001820 is a wasteful number, since it uses less digits than its factorization.

258982001820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1438788914 (or 1438788909 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 45.

The spelling of 258982001820 in words is "two hundred fifty-eight billion, nine hundred eighty-two million, one thousand, eight hundred twenty".