8044825109520 has 160 divisors (see below), whose sum is σ = 25314847746048. Its totient is φ = 2112961365504.

The previous prime is 8044825109389. The next prime is 8044825109527. The reversal of 8044825109520 is 259015284408.

It is a super-2 number, since 2×8044825109520² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 8044825109520.

It is not an unprimeable number, because it can be changed into a prime (8044825109527) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 124217787 + ... + 124282533.

Almost surely, 2^{8044825109520} is an apocalyptic number.

8044825109520 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 8044825109520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12657423873024).

8044825109520 is an abundant number, since it is smaller than the sum of its proper divisors (17270022636528).

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

8044825109520 is a wasteful number, since it uses less digits than its factorization.

8044825109520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72557 (or 72551 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 48.

The spelling of 8044825109520 in words is "eight trillion, forty-four billion, eight hundred twenty-five million, one hundred nine thousand, five hundred twenty".