82406857368 has 192 divisors, whose sum is σ = 231577365600. Its totient is φ = 24411340800.

The previous prime is 82406857331. The next prime is 82406857381. The reversal of 82406857368 is 86375860428.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30644568 + ... + 30647256.

Almost surely, 2^82406857368 is an apocalyptic number.

82406857368 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82406857368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115788682800).

82406857368 is an abundant number, since it is smaller than the sum of its proper divisors (149170508232).

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

82406857368 is a wasteful number, since it uses less digits than its factorization.

82406857368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2954 (or 2939 counting only the distinct ones).

The product of its (nonzero) digits is 15482880, while the sum is 57.

The spelling of 82406857368 in words is "eighty-two billion, four hundred six million, eight hundred fifty-seven thousand, three hundred sixty-eight".