82525273150320 has 3200 divisors, whose sum is σ = 391981031608320. Its totient is φ = 15537388584960.

The previous prime is 82525273150289. The next prime is 82525273150337. The reversal of 82525273150320 is 2305137252528.

82525273150320 is a `hidden beast` number, since 8 + 2 + 5 + 2 + 5 + 2 + 7 + 315 + 0 + 320 = 666.

It is a super-2 number, since 2×82525273150320² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 187984676661 + ... + 187984677099.

Almost surely, 2^{82525273150320} is an apocalyptic number.

82525273150320 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 82525273150320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195990515804160).

82525273150320 is an abundant number, since it is smaller than the sum of its proper divisors (309455758458000).

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

82525273150320 is a wasteful number, since it uses less digits than its factorization.

82525273150320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 965 (or 950 counting only the distinct ones).

The product of its (nonzero) digits is 1008000, while the sum is 45.

The spelling of 82525273150320 in words is "eighty-two trillion, five hundred twenty-five billion, two hundred seventy-three million, one hundred fifty thousand, three hundred twenty".