82552504320 has 1440 divisors, whose sum is σ = 360678165120. Its totient is φ = 17836277760.

The previous prime is 82552504303. The next prime is 82552504327. The reversal of 82552504320 is 2340525528.

It is a happy number.

82552504320 is a `hidden beast` number, since 82 + 5 + 5 + 250 + 4 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82552504327) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2846638066 + ... + 2846638094.

It is an arithmetic number, because the mean of its divisors is an integer number (250470948).

Almost surely, 2^82552504320 is an apocalyptic number.

82552504320 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 82552504320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180339082560).

82552504320 is an abundant number, since it is smaller than the sum of its proper divisors (278125660800).

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

82552504320 is a wasteful number, since it uses less digits than its factorization.

82552504320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

The spelling of 82552504320 in words is "eighty-two billion, five hundred fifty-two million, five hundred four thousand, three hundred twenty".