258876729648 has 160 divisors (see below), whose sum is σ = 753346713280. Its totient is φ = 86165980416.

The previous prime is 258876729577. The next prime is 258876729667. The reversal of 258876729648 is 846927678852.

258876729648 is a `hidden beast` number, since 258 + 87 + 6 + 7 + 296 + 4 + 8 = 666.

It is a super-2 number, since 2×258876729648² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25644090 + ... + 25654182.

It is an arithmetic number, because the mean of its divisors is an integer number (4708416958).

Almost surely, 2^258876729648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 258876729648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376673356640).

258876729648 is an abundant number, since it is smaller than the sum of its proper divisors (494469983632).

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

258876729648 is an equidigital number, since it uses as much as digits as its factorization.

258876729648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10855 (or 10831 counting only the distinct ones).

The product of its digits is 650280960, while the sum is 72.

The spelling of 258876729648 in words is "two hundred fifty-eight billion, eight hundred seventy-six million, seven hundred twenty-nine thousand, six hundred forty-eight".