82520203392 has 288 divisors, whose sum is σ = 262949778000. Its totient is φ = 24820392960.

The previous prime is 82520203391. The next prime is 82520203429. The reversal of 82520203392 is 29330202528.

82520203392 is a `hidden beast` number, since 82 + 520 + 20 + 3 + 39 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is not an unprimeable number, because it can be changed into a prime (82520203391) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 19373359 + ... + 19377617.

Almost surely, 2^82520203392 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82520203392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131474889000).

82520203392 is an abundant number, since it is smaller than the sum of its proper divisors (180429574608).

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

82520203392 is a wasteful number, since it uses less digits than its factorization.

82520203392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4440 (or 4414 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 82520203392 in words is "eighty-two billion, five hundred twenty million, two hundred three thousand, three hundred ninety-two".