82941010416 has 180 divisors, whose sum is σ = 255421532184. Its totient is φ = 25105893120.

The previous prime is 82941010379. The next prime is 82941010519. The reversal of 82941010416 is 61401014928.

It is a super-2 number, since 2×82941010416² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 20262066 + ... + 20266158.

Almost surely, 2^82941010416 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 82941010416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127710766092).

82941010416 is an abundant number, since it is smaller than the sum of its proper divisors (172480521768).

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

82941010416 is a wasteful number, since it uses less digits than its factorization.

82941010416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5292 (or 5272 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 82941010416 in words is "eighty-two billion, nine hundred forty-one million, ten thousand, four hundred sixteen".