85104125652 has 240 divisors, whose sum is σ = 258934090240. Its totient is φ = 21252336768.

The previous prime is 85104125599. The next prime is 85104125699. The reversal of 85104125652 is 25652140158.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 85104125652.

It is a congruent number.

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 79 ways as a sum of consecutive naturals, for example, 45582423 + ... + 45584289.

Almost surely, 2^85104125652 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 85104125652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129467045120).

85104125652 is an abundant number, since it is smaller than the sum of its proper divisors (173829964588).

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

85104125652 is a wasteful number, since it uses less digits than its factorization.

85104125652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1952 (or 1911 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 39.

The spelling of 85104125652 in words is "eighty-five billion, one hundred four million, one hundred twenty-five thousand, six hundred fifty-two".