85800029436 has 48 divisors (see below), whose sum is σ = 242666753280. Its totient is φ = 26000008560.

The previous prime is 85800029431. The next prime is 85800029443. The reversal of 85800029436 is 63492000858.

85800029436 is a `hidden beast` number, since 8 + 580 + 0 + 0 + 29 + 43 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 85800029391 and 85800029400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85800029431) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36109936 + ... + 36112311.

It is an arithmetic number, because the mean of its divisors is an integer number (5055557360).

Almost surely, 2^85800029436 is an apocalyptic number.

It is an amenable number.

85800029436 is an abundant number, since it is smaller than the sum of its proper divisors (156866723844).

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

85800029436 is a wasteful number, since it uses less digits than its factorization.

85800029436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72222271 (or 72222263 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 85800029436 in words is "eighty-five billion, eight hundred million, twenty-nine thousand, four hundred thirty-six".