85403982825 has 288 divisors, whose sum is σ = 190072656000. Its totient is φ = 37441958400.

The previous prime is 85403982803. The next prime is 85403982907. The reversal of 85403982825 is 52828930458.

It is a happy number.

85403982825 is a `hidden beast` number, since 8 + 540 + 3 + 98 + 2 + 8 + 2 + 5 = 666.

It is not a de Polignac number, because 85403982825 - 2⁵ = 85403982793 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 258017910 + ... + 258018240.

It is an arithmetic number, because the mean of its divisors is an integer number (659974500).

Almost surely, 2^85403982825 is an apocalyptic number.

It is an amenable number.

85403982825 is an abundant number, since it is smaller than the sum of its proper divisors (104668673175).

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

85403982825 is a wasteful number, since it uses less digits than its factorization.

85403982825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 662 (or 644 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 54.

The spelling of 85403982825 in words is "eighty-five billion, four hundred three million, nine hundred eighty-two thousand, eight hundred twenty-five".