82640417547887 has 16 divisors (see below), whose sum is σ = 83036256226560. Its totient is φ = 82244941920000.

The previous prime is 82640417547881. The next prime is 82640417547907. The reversal of 82640417547887 is 78874571404628.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-82640417547887 is a prime.

It is a super-2 number, since 2×82640417547887² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 82640417547887.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82640417547881) 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, 6653275937 + ... + 6653288357.

It is an arithmetic number, because the mean of its divisors is an integer number (5189766014160).

Almost surely, 2^{82640417547887} is an apocalyptic number.

82640417547887 is a deficient number, since it is larger than the sum of its proper divisors (395838678673).

82640417547887 is a wasteful number, since it uses less digits than its factorization.

82640417547887 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24514.

The product of its (nonzero) digits is 674365440, while the sum is 71.

The spelling of 82640417547887 in words is "eighty-two trillion, six hundred forty billion, four hundred seventeen million, five hundred forty-seven thousand, eight hundred eighty-seven".