82672939416400 has 60 divisors (see below), whose sum is σ = 207257464664352. Its totient is φ = 31631385512320.

The previous prime is 82672939416391. The next prime is 82672939416439. The reversal of 82672939416400 is 461493927628.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4493085334 + ... + 4493103733.

Almost surely, 2^{82672939416400} is an apocalyptic number.

82672939416400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

82672939416400 is an abundant number, since it is smaller than the sum of its proper divisors (124584525247952).

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

82672939416400 is a wasteful number, since it uses less digits than its factorization.

82672939416400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8986189108 (or 8986189097 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 61.

The spelling of 82672939416400 in words is "eighty-two trillion, six hundred seventy-two billion, nine hundred thirty-nine million, four hundred sixteen thousand, four hundred".