85760536800 has 144 divisors (see below), whose sum is σ = 279243970992. Its totient is φ = 22861824000.

The previous prime is 85760536789. The next prime is 85760536817. The reversal of 85760536800 is 863506758.

It is a Cunningham number, because it is equal to 292849²-1.

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 85760536800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14053750 + ... + 14059850.

It is an arithmetic number, because the mean of its divisors is an integer number (1939194243).

Almost surely, 2^85760536800 is an apocalyptic number.

85760536800 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 85760536800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139621985496).

85760536800 is an abundant number, since it is smaller than the sum of its proper divisors (193483434192).

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

85760536800 is a wasteful number, since it uses less digits than its factorization.

85760536800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11981 (or 11968 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 48.

The spelling of 85760536800 in words is "eighty-five billion, seven hundred sixty million, five hundred thirty-six thousand, eight hundred".