82588425120 has 192 divisors, whose sum is σ = 291337482240. Its totient is φ = 21850020864.

The previous prime is 82588425113. The next prime is 82588425133. The reversal of 82588425120 is 2152488528.

82588425120 is a `hidden beast` number, since 8 + 2 + 58 + 84 + 2 + 512 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 473374 + ... + 623906.

It is an arithmetic number, because the mean of its divisors is an integer number (1517382720).

Almost surely, 2^82588425120 is an apocalyptic number.

82588425120 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 82588425120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145668741120).

82588425120 is an abundant number, since it is smaller than the sum of its proper divisors (208749057120).

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

82588425120 is a wasteful number, since it uses less digits than its factorization.

82588425120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150684 (or 150670 counting only the distinct ones).

The product of its (nonzero) digits is 409600, while the sum is 45.

The spelling of 82588425120 in words is "eighty-two billion, five hundred eighty-eight million, four hundred twenty-five thousand, one hundred twenty".