82173471452280 has 1792 divisors, whose sum is σ = 347208011136000. Its totient is φ = 17250758148096.

The previous prime is 82173471452249. The next prime is 82173471452329. The reversal of 82173471452280 is 8225417437128.

82173471452280 is a `hidden beast` number, since 8 + 2 + 1 + 7 + 34 + 7 + 1 + 4 + 522 + 80 = 666.

It is a super-2 number, since 2×82173471452280² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 2816170731 + ... + 2816199909.

It is an arithmetic number, because the mean of its divisors is an integer number (193754470500).

Almost surely, 2^{82173471452280} 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 82173471452280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173604005568000).

82173471452280 is an abundant number, since it is smaller than the sum of its proper divisors (265034539683720).

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

82173471452280 is a wasteful number, since it uses less digits than its factorization.

82173471452280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29280 (or 29261 counting only the distinct ones).

The product of its (nonzero) digits is 6021120, while the sum is 54.

The spelling of 82173471452280 in words is "eighty-two trillion, one hundred seventy-three billion, four hundred seventy-one million, four hundred fifty-two thousand, two hundred eighty".