8197952580000 has 720 divisors, whose sum is σ = 30838070783520. Its totient is φ = 2061593856000.

The previous prime is 8197952579959. The next prime is 8197952580031. The reversal of 8197952580000 is 852597918.

8197952580000 is a `hidden beast` number, since 8 + 1 + 9 + 7 + 9 + 52 + 580 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 224441739 + ... + 224478261.

It is an arithmetic number, because the mean of its divisors is an integer number (42830653866).

Almost surely, 2^{8197952580000} is an apocalyptic number.

8197952580000 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 8197952580000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15419035391760).

8197952580000 is an abundant number, since it is smaller than the sum of its proper divisors (22640118203520).

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

8197952580000 is a wasteful number, since it uses less digits than its factorization.

8197952580000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36631 (or 36605 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 54.

The spelling of 8197952580000 in words is "eight trillion, one hundred ninety-seven billion, nine hundred fifty-two million, five hundred eighty thousand".