82891694820 has 384 divisors, whose sum is σ = 272885760000. Its totient is φ = 18587543040.

The previous prime is 82891694783. The next prime is 82891694857. The reversal of 82891694820 is 2849619828.

It is an interprime number because it is at equal distance from previous prime (82891694783) and next prime (82891694857).

It is a Harshad number since it is a multiple of its sum of digits (57).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 147231859 + ... + 147232421.

It is an arithmetic number, because the mean of its divisors is an integer number (710640000).

Almost surely, 2^82891694820 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 82891694820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136442880000).

82891694820 is an abundant number, since it is smaller than the sum of its proper divisors (189994065180).

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

82891694820 is a wasteful number, since it uses less digits than its factorization.

82891694820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 863 (or 861 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 57.

The spelling of 82891694820 in words is "eighty-two billion, eight hundred ninety-one million, six hundred ninety-four thousand, eight hundred twenty".