82125605026080 has 576 divisors, whose sum is σ = 361081188599040. Its totient is φ = 17065060024320.

The previous prime is 82125605026079. The next prime is 82125605026093. The reversal of 82125605026080 is 8062050652128.

It is a happy number.

82125605026080 is a `hidden beast` number, since 8 + 2 + 1 + 2 + 5 + 6 + 0 + 502 + 60 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7563249 + ... + 14881328.

It is an arithmetic number, because the mean of its divisors is an integer number (626877063540).

Almost surely, 2^{82125605026080} is an apocalyptic number.

82125605026080 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

82125605026080 is an abundant number, since it is smaller than the sum of its proper divisors (278955583572960).

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

82125605026080 is a wasteful number, since it uses less digits than its factorization.

82125605026080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22444630 (or 22444605 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 82125605026080 in words is "eighty-two trillion, one hundred twenty-five billion, six hundred five million, twenty-six thousand, eighty".