8295201877872 has 320 divisors, whose sum is σ = 27048508784640. Its totient is φ = 2132226173952.

The previous prime is 8295201877871. The next prime is 8295201877933. The reversal of 8295201877872 is 2787781025928.

It is a hoax number, since the sum of its digits (66) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8295201877871) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 48981213 + ... + 49150275.

It is an arithmetic number, because the mean of its divisors is an integer number (84526589952).

Almost surely, 2^{8295201877872} 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 8295201877872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13524254392320).

8295201877872 is an abundant number, since it is smaller than the sum of its proper divisors (18753306906768).

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

8295201877872 is a wasteful number, since it uses less digits than its factorization.

8295201877872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169380 (or 169374 counting only the distinct ones).

The product of its (nonzero) digits is 63221760, while the sum is 66.

The spelling of 8295201877872 in words is "eight trillion, two hundred ninety-five billion, two hundred one million, eight hundred seventy-seven thousand, eight hundred seventy-two".