85905090432 has 320 divisors, whose sum is σ = 295892044800. Its totient is φ = 24232006656.

The previous prime is 85905090409. The next prime is 85905090451. The reversal of 85905090432 is 23409050958.

85905090432 is a `hidden beast` number, since 8 + 590 + 50 + 9 + 0 + 4 + 3 + 2 = 666.

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 39 ways as a sum of consecutive naturals, for example, 5726013 + ... + 5740995.

It is an arithmetic number, because the mean of its divisors is an integer number (924662640).

Almost surely, 2^85905090432 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 85905090432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147946022400).

85905090432 is an abundant number, since it is smaller than the sum of its proper divisors (209986954368).

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

85905090432 is a wasteful number, since it uses less digits than its factorization.

85905090432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15095 (or 15074 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 85905090432 in words is "eighty-five billion, nine hundred five million, ninety thousand, four hundred thirty-two".