8125831484820 has 288 divisors, whose sum is σ = 29471400661248. Its totient is φ = 1840895465472.

The previous prime is 8125831484791. The next prime is 8125831484839. The reversal of 8125831484820 is 284841385218.

8125831484820 is a `hidden beast` number, since 8 + 1 + 2 + 5 + 83 + 1 + 484 + 82 + 0 = 666.

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

It is a congruent number.

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, 2787382 + ... + 4901138.

It is an arithmetic number, because the mean of its divisors is an integer number (102331252296).

Almost surely, 2^{8125831484820} 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 8125831484820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14735700330624).

8125831484820 is an abundant number, since it is smaller than the sum of its proper divisors (21345569176428).

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

8125831484820 is a wasteful number, since it uses less digits than its factorization.

8125831484820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2113901 (or 2113887 counting only the distinct ones).

The product of its (nonzero) digits is 3932160, while the sum is 54.

The spelling of 8125831484820 in words is "eight trillion, one hundred twenty-five billion, eight hundred thirty-one million, four hundred eighty-four thousand, eight hundred twenty".