8036225957760 has 1536 divisors, whose sum is σ = 34770495836160. Its totient is φ = 1536211353600.

The previous prime is 8036225957657. The next prime is 8036225957761. The reversal of 8036225957760 is 677595226308.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 8036225957694 and 8036225957703.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8036225957761) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 9788338150 + ... + 9788338970.

It is an arithmetic number, because the mean of its divisors is an integer number (22637041560).

Almost surely, 2^{8036225957760} is an apocalyptic number.

8036225957760 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 8036225957760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17385247918080).

8036225957760 is an abundant number, since it is smaller than the sum of its proper divisors (26734269878400).

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

8036225957760 is a wasteful number, since it uses less digits than its factorization.

8036225957760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1348 (or 1325 counting only the distinct ones).

The product of its (nonzero) digits is 38102400, while the sum is 60.

The spelling of 8036225957760 in words is "eight trillion, thirty-six billion, two hundred twenty-five million, nine hundred fifty-seven thousand, seven hundred sixty".