82595824640 has 352 divisors, whose sum is σ = 247548524544. Its totient is φ = 25787105280.

The previous prime is 82595824603. The next prime is 82595824643. The reversal of 82595824640 is 4642859528.

It is a super-2 number, since 2×82595824640² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (82595824643) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18885494 + ... + 18889866.

Almost surely, 2^82595824640 is an apocalyptic number.

82595824640 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82595824640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123774262272).

82595824640 is an abundant number, since it is smaller than the sum of its proper divisors (164952699904).

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

82595824640 is a wasteful number, since it uses less digits than its factorization.

82595824640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4453 (or 4435 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 53.

The spelling of 82595824640 in words is "eighty-two billion, five hundred ninety-five million, eight hundred twenty-four thousand, six hundred forty".