82941884820 has 192 divisors, whose sum is σ = 260369034240. Its totient is φ = 21919113216.

The previous prime is 82941884813. The next prime is 82941884827. The reversal of 82941884820 is 2848814928.

82941884820 is a `hidden beast` number, since 82 + 9 + 4 + 1 + 88 + 482 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (82941884813) and next prime (82941884827).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82941884827) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 39252084 + ... + 39254196.

It is an arithmetic number, because the mean of its divisors is an integer number (1356088720).

Almost surely, 2^82941884820 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 82941884820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130184517120).

82941884820 is an abundant number, since it is smaller than the sum of its proper divisors (177427149420).

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

82941884820 is a wasteful number, since it uses less digits than its factorization.

82941884820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2751 (or 2743 counting only the distinct ones).

The product of its (nonzero) digits is 2359296, while the sum is 54.

The spelling of 82941884820 in words is "eighty-two billion, nine hundred forty-one million, eight hundred eighty-four thousand, eight hundred twenty".