258711247620 has 432 divisors, whose sum is σ = 954033208128. Its totient is φ = 58675518720.

The previous prime is 258711247547. The next prime is 258711247633. The reversal of 258711247620 is 26742117852.

258711247620 is a `hidden beast` number, since 2 + 5 + 8 + 7 + 1 + 12 + 4 + 7 + 620 = 666.

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

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 31192194 + ... + 31200486.

It is an arithmetic number, because the mean of its divisors is an integer number (2208410204).

Almost surely, 2^258711247620 is an apocalyptic number.

258711247620 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 258711247620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (477016604064).

258711247620 is an abundant number, since it is smaller than the sum of its proper divisors (695321960508).

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

258711247620 is a wasteful number, since it uses less digits than its factorization.

258711247620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8462 (or 8441 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The spelling of 258711247620 in words is "two hundred fifty-eight billion, seven hundred eleven million, two hundred forty-seven thousand, six hundred twenty".