258802010880 has 288 divisors, whose sum is σ = 950300273664. Its totient is φ = 58799505408.

The previous prime is 258802010869. The next prime is 258802010881. The reversal of 258802010880 is 88010208852.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (258802010881) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4460134 + ... + 4517786.

It is an arithmetic number, because the mean of its divisors is an integer number (3299653728).

Almost surely, 2^258802010880 is an apocalyptic number.

258802010880 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 258802010880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (475150136832).

258802010880 is an abundant number, since it is smaller than the sum of its proper divisors (691498262784).

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

258802010880 is a wasteful number, since it uses less digits than its factorization.

258802010880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57851 (or 57837 counting only the distinct ones).

The product of its (nonzero) digits is 81920, while the sum is 42.

The spelling of 258802010880 in words is "two hundred fifty-eight billion, eight hundred two million, ten thousand, eight hundred eighty".