82540499616 has 144 divisors (see below), whose sum is σ = 239079859200. Its totient is φ = 27007478784.

The previous prime is 82540499609. The next prime is 82540499617. The reversal of 82540499616 is 61699404528.

82540499616 is a `hidden beast` number, since 8 + 2 + 540 + 4 + 9 + 96 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×82540499616² (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (82540499617) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3551265 + ... + 3574431.

It is an arithmetic number, because the mean of its divisors is an integer number (1660276800).

Almost surely, 2^82540499616 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82540499616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119539929600).

82540499616 is an abundant number, since it is smaller than the sum of its proper divisors (156539359584).

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

82540499616 is a wasteful number, since it uses less digits than its factorization.

82540499616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23411 (or 23400 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 82540499616 in words is "eighty-two billion, five hundred forty million, four hundred ninety-nine thousand, six hundred sixteen".