82057860000 has 600 divisors, whose sum is σ = 309942489780. Its totient is φ = 21290688000.

The previous prime is 82057859953. The next prime is 82057860023. The reversal of 82057860000 is 6875028.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

82057860000 is a `hidden beast` number, since 8 + 20 + 578 + 60 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 10 ways, for example, as 3111696 + 82054748304 = 1764^2 + 286452^2 .

It is a tau number, because it is divible by the number of its divisors (600).

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

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 5550 × 3330 × 4440.

It is an unprimeable number.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 2217779982 + ... + 2217780018.

Almost surely, 2^82057860000 is an apocalyptic number.

82057860000 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 82057860000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154971244890).

82057860000 is an abundant number, since it is smaller than the sum of its proper divisors (227884629780).

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

82057860000 is an frugal number, since it uses more digits than its factorization.

82057860000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 82057860000 in words is "eighty-two billion, fifty-seven million, eight hundred sixty thousand".