258116466240 has 672 divisors, whose sum is σ = 945802690560. Its totient is φ = 66980100096.

The previous prime is 258116466217. The next prime is 258116466253. The reversal of 258116466240 is 42664611852.

It is a happy number.

258116466240 is a `hidden beast` number, since 2 + 5 + 8 + 1 + 16 + 4 + 6 + 624 + 0 = 666.

It is a super-2 number, since 2×258116466240² (a number of 24 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 582655459 + ... + 582655901.

It is an arithmetic number, because the mean of its divisors is an integer number (1407444480).

Almost surely, 2^258116466240 is an apocalyptic number.

258116466240 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 258116466240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (472901345280).

258116466240 is an abundant number, since it is smaller than the sum of its proper divisors (687686224320).

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

258116466240 is a wasteful number, since it uses less digits than its factorization.

258116466240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 661 (or 639 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 258116466240 in words is "two hundred fifty-eight billion, one hundred sixteen million, four hundred sixty-six thousand, two hundred forty".