85292727300 has 288 divisors, whose sum is σ = 308780236800. Its totient is φ = 20009808000.

The previous prime is 85292727259. The next prime is 85292727323. The reversal of 85292727300 is 372729258.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 874381 + ... + 967019.

It is an arithmetic number, because the mean of its divisors is an integer number (1072153600).

Almost surely, 2^85292727300 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 85292727300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154390118400).

85292727300 is an abundant number, since it is smaller than the sum of its proper divisors (223487509500).

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

85292727300 is a wasteful number, since it uses less digits than its factorization.

85292727300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92704 (or 92691 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 85292727300 in words is "eighty-five billion, two hundred ninety-two million, seven hundred twenty-seven thousand, three hundred".