82248125220 has 48 divisors (see below), whose sum is σ = 255883057920. Its totient is φ = 21932833248.

The previous prime is 82248125149. The next prime is 82248125263. The reversal of 82248125220 is 2252184228.

It is a happy number.

82248125220 is a `hidden beast` number, since 82 + 2 + 48 + 12 + 522 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 76155132 + ... + 76156211.

It is an arithmetic number, because the mean of its divisors is an integer number (5330897040).

Almost surely, 2^82248125220 is an apocalyptic number.

It is an amenable number.

82248125220 is an abundant number, since it is smaller than the sum of its proper divisors (173634932700).

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

82248125220 is a wasteful number, since it uses less digits than its factorization.

82248125220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152311361 (or 152311353 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 36.

The spelling of 82248125220 in words is "eighty-two billion, two hundred forty-eight million, one hundred twenty-five thousand, two hundred twenty".