8045249953120 has 96 divisors (see below), whose sum is σ = 19182154900608. Its totient is φ = 3188448657408.

The previous prime is 8045249953109. The next prime is 8045249953127. The reversal of 8045249953120 is 213599425408.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8045249953127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49946952 + ... + 50107768.

It is an arithmetic number, because the mean of its divisors is an integer number (199814113548).

Almost surely, 2^{8045249953120} is an apocalyptic number.

8045249953120 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 8045249953120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9591077450304).

8045249953120 is an abundant number, since it is smaller than the sum of its proper divisors (11136904947488).

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

8045249953120 is a wasteful number, since it uses less digits than its factorization.

8045249953120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163712 (or 163704 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 52.

The spelling of 8045249953120 in words is "eight trillion, forty-five billion, two hundred forty-nine million, nine hundred fifty-three thousand, one hundred twenty".