82520553600 has 384 divisors, whose sum is σ = 302646403200. Its totient is φ = 21958594560.

The previous prime is 82520553503. The next prime is 82520553601. The reversal of 82520553600 is 635502528.

It is a happy number.

82520553600 is a `hidden beast` number, since 8 + 25 + 20 + 5 + 5 + 3 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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 (82520553601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 63330549 + ... + 63331851.

It is an arithmetic number, because the mean of its divisors is an integer number (788141675).

Almost surely, 2^82520553600 is an apocalyptic number.

82520553600 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 82520553600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151323201600).

82520553600 is an abundant number, since it is smaller than the sum of its proper divisors (220125849600).

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

82520553600 is a wasteful number, since it uses less digits than its factorization.

82520553600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2069 (or 2046 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 82520553600 in words is "eighty-two billion, five hundred twenty million, five hundred fifty-three thousand, six hundred".