82549648200672 has 72 divisors (see below), whose sum is σ = 234778882763880. Its totient is φ = 27513229758720.

The previous prime is 82549648200659. The next prime is 82549648200673. The reversal of 82549648200672 is 27600284694528.

82549648200672 is a `hidden beast` number, since 8 + 2 + 5 + 4 + 96 + 482 + 0 + 0 + 67 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82549648200673) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14897847 + ... + 19673462.

It is an arithmetic number, because the mean of its divisors is an integer number (3260817816165).

Almost surely, 2^{82549648200672} is an apocalyptic number.

It is an amenable number.

82549648200672 is an abundant number, since it is smaller than the sum of its proper divisors (152229234563208).

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

82549648200672 is a wasteful number, since it uses less digits than its factorization.

82549648200672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34579616 (or 34579605 counting only the distinct ones).

The product of its (nonzero) digits is 92897280, while the sum is 63.

The spelling of 82549648200672 in words is "eighty-two trillion, five hundred forty-nine billion, six hundred forty-eight million, two hundred thousand, six hundred seventy-two".