8258013120 has 448 divisors, whose sum is σ = 31601664000. Its totient is φ = 1824399360.

The previous prime is 8258013097. The next prime is 8258013139. The reversal of 8258013120 is 213108528.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 10207276 + ... + 10208084.

Almost surely, 2^8258013120 is an apocalyptic number.

8258013120 is a gapful number since it is divisible by the number (80) 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 8258013120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15800832000).

8258013120 is an abundant number, since it is smaller than the sum of its proper divisors (23343650880).

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

8258013120 is a wasteful number, since it uses less digits than its factorization.

8258013120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 881 (or 857 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 30.

The square root of 8258013120 is about 90873.6106908931. The cubic root of 8258013120 is about 2021.2739994527.

The spelling of 8258013120 in words is "eight billion, two hundred fifty-eight million, thirteen thousand, one hundred twenty".