82111760640 has 1008 divisors, whose sum is σ = 363316977408. Its totient is φ = 17306763264.

The previous prime is 82111760611. The next prime is 82111760651. The reversal of 82111760640 is 4606711128.

It is a happy number.

82111760640 is a `hidden beast` number, since 8 + 2 + 1 + 1 + 1 + 7 + 6 + 0 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 82111760595 and 82111760604.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 84913437 + ... + 84914403.

Almost surely, 2^82111760640 is an apocalyptic number.

82111760640 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 82111760640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181658488704).

82111760640 is an abundant number, since it is smaller than the sum of its proper divisors (281205216768).

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

82111760640 is an equidigital number, since it uses as much as digits as its factorization.

82111760640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1026 (or 997 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 82111760640 in words is "eighty-two billion, one hundred eleven million, seven hundred sixty thousand, six hundred forty".