82475995447296 has 1680 divisors, whose sum is σ = 282019806202176. Its totient is φ = 23887872000000.

The previous prime is 82475995447247. The next prime is 82475995447409. The reversal of 82475995447296 is 69274459957428.

82475995447296 is a `hidden beast` number, since 8 + 2 + 4 + 7 + 5 + 9 + 9 + 54 + 472 + 96 = 666.

It is a super-2 number, since 2×82475995447296² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 328589623171 + ... + 328589623421.

Almost surely, 2^{82475995447296} 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 82475995447296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141009903101088).

82475995447296 is an abundant number, since it is smaller than the sum of its proper divisors (199543810754880).

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

82475995447296 is an equidigital number, since it uses as much as digits as its factorization.

82475995447296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 410 (or 369 counting only the distinct ones).

The product of its digits is 10973491200, while the sum is 81.

The spelling of 82475995447296 in words is "eighty-two trillion, four hundred seventy-five billion, nine hundred ninety-five million, four hundred forty-seven thousand, two hundred ninety-six".