8101295449520 has 320 divisors, whose sum is σ = 23341866024960. Its totient is φ = 2546322960384.

The previous prime is 8101295449501. The next prime is 8101295449549. The reversal of 8101295449520 is 259445921018.

It is a super-3 number, since 3×8101295449520³ (a number of 40 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 666383282 + ... + 666395438.

It is an arithmetic number, because the mean of its divisors is an integer number (72943331328).

Almost surely, 2^{8101295449520} is an apocalyptic number.

8101295449520 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 8101295449520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11670933012480).

8101295449520 is an abundant number, since it is smaller than the sum of its proper divisors (15240570575440).

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

8101295449520 is a wasteful number, since it uses less digits than its factorization.

8101295449520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12812 (or 12806 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 50.

The spelling of 8101295449520 in words is "eight trillion, one hundred one billion, two hundred ninety-five million, four hundred forty-nine thousand, five hundred twenty".