258475186980 has 144 divisors (see below), whose sum is σ = 802637035200. Its totient is φ = 67293386496.

The previous prime is 258475186943. The next prime is 258475186987. The reversal of 258475186980 is 89681574852.

258475186980 is a `hidden beast` number, since 2 + 5 + 8 + 475 + 1 + 86 + 9 + 80 = 666.

It is not an unprimeable number, because it can be changed into a prime (258475186987) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20884074 + ... + 20896446.

It is an arithmetic number, because the mean of its divisors is an integer number (5573868300).

Almost surely, 2^258475186980 is an apocalyptic number.

258475186980 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 258475186980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401318517600).

258475186980 is an abundant number, since it is smaller than the sum of its proper divisors (544161848220).

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

258475186980 is a wasteful number, since it uses less digits than its factorization.

258475186980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15130 (or 15125 counting only the distinct ones).

The product of its (nonzero) digits is 38707200, while the sum is 63.

The spelling of 258475186980 in words is "two hundred fifty-eight billion, four hundred seventy-five million, one hundred eighty-six thousand, nine hundred eighty".