8272301289600 has 384 divisors, whose sum is σ = 28736319240000. Its totient is φ = 2085809356800.

The previous prime is 8272301289583. The next prime is 8272301289601. The reversal of 8272301289600 is 69821032728.

It is a tau number, because it is divible by the number of its divisors (384).

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 8272301289600.

It is not an unprimeable number, because it can be changed into a prime (8272301289601) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 94986876 + ... + 95073924.

Almost surely, 2^{8272301289600} is an apocalyptic number.

8272301289600 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 8272301289600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14368159620000).

8272301289600 is an abundant number, since it is smaller than the sum of its proper divisors (20464017950400).

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

8272301289600 is a wasteful number, since it uses less digits than its factorization.

8272301289600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87616 (or 87599 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 48.

The spelling of 8272301289600 in words is "eight trillion, two hundred seventy-two billion, three hundred one million, two hundred eighty-nine thousand, six hundred".