8025103872 has 240 divisors, whose sum is σ = 24742523520. Its totient is φ = 2496614400.

The previous prime is 8025103859. The next prime is 8025103901. The reversal of 8025103872 is 2783015208.

It is a hoax number, since the sum of its digits (36) 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 (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6215547 + ... + 6216837.

It is an arithmetic number, because the mean of its divisors is an integer number (103093848).

Almost surely, 2^8025103872 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 8025103872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12371261760).

8025103872 is an abundant number, since it is smaller than the sum of its proper divisors (16717419648).

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

8025103872 is a wasteful number, since it uses less digits than its factorization.

8025103872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1405 (or 1386 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 8025103872 is about 89582.9440909373. The cubic root of 8025103872 is about 2002.0898049304.

The spelling of 8025103872 in words is "eight billion, twenty-five million, one hundred three thousand, eight hundred seventy-two".