82857622500 has 405 divisors, whose sum is σ = 278985159453. Its totient is φ = 20725200000.

The previous prime is 82857622489. The next prime is 82857622537. The reversal of 82857622500 is 522675828.

The square root of 82857622500 is 287850.

It is a perfect power (a square), and thus also a powerful number.

82857622500 is a `hidden beast` number, since 8 + 2 + 8 + 576 + 22 + 50 + 0 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 17881573284 + 64976049216 = 133722^2 + 254904^2 .

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 134 ways as a sum of consecutive naturals, for example, 820372450 + ... + 820372550.

Almost surely, 2^82857622500 is an apocalyptic number.

82857622500 is the 287850-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82857622500

82857622500 is an abundant number, since it is smaller than the sum of its proper divisors (196127536953).

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

82857622500 is a wasteful number, since it uses less digits than its factorization.

82857622500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The spelling of 82857622500 in words is "eighty-two billion, eight hundred fifty-seven million, six hundred twenty-two thousand, five hundred".