82971415296000 has 6912 divisors, whose sum is σ = 414168409025280. Its totient is φ = 15571353600000.

The previous prime is 82971415295963. The next prime is 82971415296019. The reversal of 82971415296000 is 69251417928.

It is a happy number.

82971415296000 is a `hidden beast` number, since 8 + 2 + 9 + 7 + 1 + 4 + 1 + 5 + 29 + 600 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 1360187135970 + ... + 1360187136030.

It is an arithmetic number, because the mean of its divisors is an integer number (59920198065).

Almost surely, 2^{82971415296000} is an apocalyptic number.

82971415296000 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 82971415296000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207084204512640).

82971415296000 is an abundant number, since it is smaller than the sum of its proper divisors (331196993729280).

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

82971415296000 is a wasteful number, since it uses less digits than its factorization.

82971415296000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 82971415296000 in words is "eighty-two trillion, nine hundred seventy-one billion, four hundred fifteen million, two hundred ninety-six thousand".