82178896512 has 128 divisors (see below), whose sum is σ = 231497274240. Its totient is φ = 25740443648.

The previous prime is 82178896507. The next prime is 82178896517. The reversal of 82178896512 is 21569887128.

It is an interprime number because it is at equal distance from previous prime (82178896507) and next prime (82178896517).

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×82178896512² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (82178896517) 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, 4213888 + ... + 4233344.

It is an arithmetic number, because the mean of its divisors is an integer number (1808572455).

Almost surely, 2^82178896512 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 82178896512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115748637120).

82178896512 is an abundant number, since it is smaller than the sum of its proper divisors (149318377728).

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

82178896512 is a wasteful number, since it uses less digits than its factorization.

82178896512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20138 (or 20126 counting only the distinct ones).

The product of its digits is 3870720, while the sum is 57.

The spelling of 82178896512 in words is "eighty-two billion, one hundred seventy-eight million, eight hundred ninety-six thousand, five hundred twelve".