82856252160 has 576 divisors, whose sum is σ = 325641576960. Its totient is φ = 19780485120.

The previous prime is 82856252117. The next prime is 82856252197. The reversal of 82856252160 is 6125265828.

It is a happy number.

82856252160 is a `hidden beast` number, since 8 + 2 + 8 + 5 + 62 + 521 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 25469094 + ... + 25472346.

It is an arithmetic number, because the mean of its divisors is an integer number (565349960).

Almost surely, 2^82856252160 is an apocalyptic number.

82856252160 is a gapful number since it is divisible by the number (80) 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 82856252160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162820788480).

82856252160 is an abundant number, since it is smaller than the sum of its proper divisors (242785324800).

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

82856252160 is a wasteful number, since it uses less digits than its factorization.

82856252160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3361 (or 3341 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 82856252160 in words is "eighty-two billion, eight hundred fifty-six million, two hundred fifty-two thousand, one hundred sixty".