85479284880 has 160 divisors (see below), whose sum is σ = 321194977920. Its totient is φ = 20722245120.

The previous prime is 85479284879. The next prime is 85479284903. The reversal of 85479284880 is 8848297458.

85479284880 is a `hidden beast` number, since 8 + 5 + 479 + 2 + 84 + 8 + 80 = 666.

It is a super-2 number, since 2×85479284880² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1775047 + ... + 1822566.

It is an arithmetic number, because the mean of its divisors is an integer number (2007468612).

Almost surely, 2^85479284880 is an apocalyptic number.

85479284880 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

85479284880 is an abundant number, since it is smaller than the sum of its proper divisors (235715693040).

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

85479284880 is a wasteful number, since it uses less digits than its factorization.

85479284880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3597646 (or 3597634 counting only the distinct ones).

The product of its (nonzero) digits is 41287680, while the sum is 63.

The spelling of 85479284880 in words is "eighty-five billion, four hundred seventy-nine million, two hundred eighty-four thousand, eight hundred eighty".