82375432106560 has 112 divisors (see below), whose sum is σ = 207747278078400. Its totient is φ = 31024443930624.

The previous prime is 82375432106549. The next prime is 82375432106563. The reversal of 82375432106560 is 6560123457328.

It is a junction number, because it is equal to n+sod(n) for n = 82375432106498 and 82375432106507.

It is not an unprimeable number, because it can be changed into a prime (82375432106563) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40569055 + ... + 42551134.

Almost surely, 2^{82375432106560} is an apocalyptic number.

82375432106560 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

82375432106560 is an abundant number, since it is smaller than the sum of its proper divisors (125371845971840).

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

82375432106560 is a wasteful number, since it uses less digits than its factorization.

82375432106560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83120388 (or 83120378 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 52.

The spelling of 82375432106560 in words is "eighty-two trillion, three hundred seventy-five billion, four hundred thirty-two million, one hundred six thousand, five hundred sixty".