85124508325632 has 432 divisors, whose sum is σ = 265191729933312. Its totient is φ = 27202821857280.

The previous prime is 85124508325631. The next prime is 85124508325709. The reversal of 85124508325632 is 23652380542158.

85124508325632 is a `hidden beast` number, since 8 + 5 + 1 + 2 + 45 + 0 + 8 + 32 + 563 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85124508325631) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 206137668 + ... + 206550204.

It is an arithmetic number, because the mean of its divisors is an integer number (613869745216).

Almost surely, 2^{85124508325632} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85124508325632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132595864966656).

85124508325632 is an abundant number, since it is smaller than the sum of its proper divisors (180067221607680).

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

85124508325632 is a wasteful number, since it uses less digits than its factorization.

85124508325632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412706 (or 412680 counting only the distinct ones).

The product of its (nonzero) digits is 13824000, while the sum is 54.

The spelling of 85124508325632 in words is "eighty-five trillion, one hundred twenty-four billion, five hundred eight million, three hundred twenty-five thousand, six hundred thirty-two".