85713905280 has 128 divisors (see below), whose sum is σ = 275365140480. Its totient is φ = 22677000192.

The previous prime is 85713905279. The next prime is 85713905309. The reversal of 85713905280 is 8250931758.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-3 number, since 3×85713905280³ (a number of 34 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 68082 + ... + 419598.

It is an arithmetic number, because the mean of its divisors is an integer number (2151290160).

Almost surely, 2^85713905280 is an apocalyptic number.

85713905280 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 85713905280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137682570240).

85713905280 is an abundant number, since it is smaller than the sum of its proper divisors (189651235200).

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

85713905280 is a wasteful number, since it uses less digits than its factorization.

85713905280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351666 (or 351654 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 48.

The spelling of 85713905280 in words is "eighty-five billion, seven hundred thirteen million, nine hundred five thousand, two hundred eighty".