82965811376 has 160 divisors (see below), whose sum is σ = 195987456000. Its totient is φ = 33968712960.

The previous prime is 82965811333. The next prime is 82965811381. The reversal of 82965811376 is 67311856928.

It is a super-2 number, since 2×82965811376² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13437026 + ... + 13443198.

It is an arithmetic number, because the mean of its divisors is an integer number (1224921600).

Almost surely, 2^82965811376 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 82965811376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97993728000).

82965811376 is an abundant number, since it is smaller than the sum of its proper divisors (113021644624).

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

82965811376 is a wasteful number, since it uses less digits than its factorization.

82965811376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6312 (or 6292 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 56.

The spelling of 82965811376 in words is "eighty-two billion, nine hundred sixty-five million, eight hundred eleven thousand, three hundred seventy-six".