82736086681600 has 144 divisors (see below), whose sum is σ = 223784075183760. Its totient is φ = 30085849497600.

The previous prime is 82736086681583. The next prime is 82736086681613. The reversal of 82736086681600 is 618668063728.

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, 72888582 + ... + 74014981.

It is an arithmetic number, because the mean of its divisors is an integer number (1554056077665).

Almost surely, 2^{82736086681600} is an apocalyptic number.

82736086681600 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

82736086681600 is an abundant number, since it is smaller than the sum of its proper divisors (141047988502160).

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

82736086681600 is a wasteful number, since it uses less digits than its factorization.

82736086681600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146903606 (or 146903581 counting only the distinct ones).

The product of its (nonzero) digits is 27869184, while the sum is 61.

The spelling of 82736086681600 in words is "eighty-two trillion, seven hundred thirty-six billion, eighty-six million, six hundred eighty-one thousand, six hundred".