82369585152 has 448 divisors, whose sum is σ = 258940523520. Its totient is φ = 25834291200.

The previous prime is 82369585127. The next prime is 82369585159. The reversal of 82369585152 is 25158596328.

It is a happy number.

82369585152 is a `hidden beast` number, since 8 + 2 + 3 + 6 + 9 + 585 + 1 + 52 = 666.

It is a super-2 number, since 2×82369585152² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (5184000) is a multiple of the sum of its prime factors (400).

It is not an unprimeable number, because it can be changed into a prime (82369585159) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 281124718 + ... + 281125010.

It is an arithmetic number, because the mean of its divisors is an integer number (577992240).

Almost surely, 2^82369585152 is an apocalyptic number.

82369585152 is a gapful number since it is divisible by the number (82) 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 82369585152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129470261760).

82369585152 is an abundant number, since it is smaller than the sum of its proper divisors (176570938368).

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

82369585152 is a wasteful number, since it uses less digits than its factorization.

82369585152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400 (or 370 counting only the distinct ones).

The product of its digits is 5184000, while the sum is 54.

The spelling of 82369585152 in words is "eighty-two billion, three hundred sixty-nine million, five hundred eighty-five thousand, one hundred fifty-two".