85760928000 has 1296 divisors, whose sum is σ = 357252674688. Its totient is φ = 19700736000.

The previous prime is 85760927983. The next prime is 85760928067. The reversal of 85760928000 is 82906758.

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 143 ways as a sum of consecutive naturals, for example, 801503947 + ... + 801504053.

It is an arithmetic number, because the mean of its divisors is an integer number (275657928).

Almost surely, 2^85760928000 is an apocalyptic number.

85760928000 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 85760928000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178626337344).

85760928000 is an abundant number, since it is smaller than the sum of its proper divisors (271491746688).

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

85760928000 is a wasteful number, since it uses less digits than its factorization.

85760928000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 85760928000 in words is "eighty-five billion, seven hundred sixty million, nine hundred twenty-eight thousand".