258970473216 has 1728 divisors, whose sum is σ = 1060033443840. Its totient is φ = 61487382528.

The previous prime is 258970473211. The next prime is 258970473247. The reversal of 258970473216 is 612374079852.

It is a happy number.

258970473216 is a `hidden beast` number, since 2 + 5 + 89 + 70 + 473 + 21 + 6 = 666.

258970473216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (258970473211) by changing a digit.

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, 11259585781 + ... + 11259585803.

It is an arithmetic number, because the mean of its divisors is an integer number (613445280).

It is a 1-persistent number, because it is pandigital, but 2⋅258970473216 = 517940946432 is not.

Almost surely, 2^258970473216 is an apocalyptic number.

258970473216 is a gapful number since it is divisible by the number (26) 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 258970473216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (530016721920).

258970473216 is an abundant number, since it is smaller than the sum of its proper divisors (801062970624).

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

258970473216 is an equidigital number, since it uses as much as digits as its factorization.

258970473216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 258970473216 in words is "two hundred fifty-eight billion, nine hundred seventy million, four hundred seventy-three thousand, two hundred sixteen".