82860853824 has 336 divisors, whose sum is σ = 298052995968. Its totient is φ = 22281412608.

The previous prime is 82860853799. The next prime is 82860853853. The reversal of 82860853824 is 42835806828.

82860853824 is a `hidden beast` number, since 8 + 2 + 8 + 608 + 5 + 3 + 8 + 24 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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

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, 1828302 + ... + 1873074.

It is an arithmetic number, because the mean of its divisors is an integer number (887062488).

Almost surely, 2^82860853824 is an apocalyptic number.

82860853824 is a gapful number since it is divisible by the number (84) 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 82860853824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149026497984).

82860853824 is an abundant number, since it is smaller than the sum of its proper divisors (215192142144).

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

82860853824 is a wasteful number, since it uses less digits than its factorization.

82860853824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44824 (or 44802 counting only the distinct ones).

The product of its (nonzero) digits is 5898240, while the sum is 54.

The spelling of 82860853824 in words is "eighty-two billion, eight hundred sixty million, eight hundred fifty-three thousand, eight hundred twenty-four".