85907285100 has 864 divisors, whose sum is σ = 349102656000. Its totient is φ = 17962560000.

The previous prime is 85907285099. The next prime is 85907285111. The reversal of 85907285100 is 158270958.

It is a happy number.

85907285100 is a `hidden beast` number, since 8 + 590 + 7 + 2 + 8 + 51 + 0 + 0 = 666.

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 (13) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 342259975 + ... + 342260225.

It is an arithmetic number, because the mean of its divisors is an integer number (404054000).

Almost surely, 2^85907285100 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 85907285100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174551328000).

85907285100 is an abundant number, since it is smaller than the sum of its proper divisors (263195370900).

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

85907285100 is a wasteful number, since it uses less digits than its factorization.

85907285100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 45.

The spelling of 85907285100 in words is "eighty-five billion, nine hundred seven million, two hundred eighty-five thousand, one hundred".