85765355280 has 320 divisors, whose sum is σ = 322907904000. Its totient is φ = 20750446080.

The previous prime is 85765355279. The next prime is 85765355399. The reversal of 85765355280 is 8255356758.

It is a happy number.

85765355280 is a `hidden beast` number, since 8 + 5 + 7 + 6 + 5 + 3 + 552 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12993421 + ... + 13000019.

It is an arithmetic number, because the mean of its divisors is an integer number (1009087200).

Almost surely, 2^85765355280 is an apocalyptic number.

85765355280 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 85765355280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161453952000).

85765355280 is an abundant number, since it is smaller than the sum of its proper divisors (237142548720).

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

85765355280 is a wasteful number, since it uses less digits than its factorization.

85765355280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7179 (or 7167 counting only the distinct ones).

The product of its (nonzero) digits is 10080000, while the sum is 54.

It can be divided in two parts, 8576 and 5355280, that added together give a square (5363856 = 2316²).

The spelling of 85765355280 in words is "eighty-five billion, seven hundred sixty-five million, three hundred fifty-five thousand, two hundred eighty".