85733277600 has 288 divisors, whose sum is σ = 292961249280. Its totient is φ = 21748608000.

The previous prime is 85733277589. The next prime is 85733277661. The reversal of 85733277600 is 677233758.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 85733277600.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4379835 + ... + 4399365.

It is an arithmetic number, because the mean of its divisors is an integer number (1017226560).

Almost surely, 2^85733277600 is an apocalyptic number.

85733277600 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85733277600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146480624640).

85733277600 is an abundant number, since it is smaller than the sum of its proper divisors (207227971680).

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

85733277600 is a wasteful number, since it uses less digits than its factorization.

85733277600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19644 (or 19631 counting only the distinct ones).

The product of its (nonzero) digits is 1481760, while the sum is 48.

The spelling of 85733277600 in words is "eighty-five billion, seven hundred thirty-three million, two hundred seventy-seven thousand, six hundred".