8295729265320 has 512 divisors, whose sum is σ = 29004595706880. Its totient is φ = 1859132620800.

The previous prime is 8295729265261. The next prime is 8295729265333. The reversal of 8295729265320 is 235629275928.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7589870694 + ... + 7589871786.

It is an arithmetic number, because the mean of its divisors is an integer number (56649600990).

Almost surely, 2^{8295729265320} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8295729265320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14502297853440).

8295729265320 is an abundant number, since it is smaller than the sum of its proper divisors (20708866441560).

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

8295729265320 is a wasteful number, since it uses less digits than its factorization.

8295729265320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2005 (or 2001 counting only the distinct ones).

The product of its (nonzero) digits is 32659200, while the sum is 60.

The spelling of 8295729265320 in words is "eight trillion, two hundred ninety-five billion, seven hundred twenty-nine million, two hundred sixty-five thousand, three hundred twenty".