258711296220 has 576 divisors, whose sum is σ = 910476228480. Its totient is φ = 61373168640.

The previous prime is 258711296177. The next prime is 258711296257. The reversal of 258711296220 is 22692117852.

258711296220 is a `hidden beast` number, since 2 + 5 + 8 + 7 + 1 + 12 + 9 + 622 + 0 = 666.

258711296220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 478209150 + ... + 478209690.

Almost surely, 2^258711296220 is an apocalyptic number.

258711296220 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 258711296220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (455238114240).

258711296220 is an abundant number, since it is smaller than the sum of its proper divisors (651764932260).

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

258711296220 is a wasteful number, since it uses less digits than its factorization.

258711296220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 642 (or 593 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

It can be divided in two parts, 258711 and 296220, that added together give a triangular number (554931 = T₁₀₅₃).

The spelling of 258711296220 in words is "two hundred fifty-eight billion, seven hundred eleven million, two hundred ninety-six thousand, two hundred twenty".