85473558720 has 504 divisors, whose sum is σ = 333128557008. Its totient is φ = 20715264000.

The previous prime is 85473558689. The next prime is 85473558757. The reversal of 85473558720 is 2785537458.

85473558720 is a `hidden beast` number, since 8 + 5 + 4 + 7 + 35 + 587 + 20 = 666.

It is a super-2 number, since 2×85473558720² (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 23092870 + ... + 23096570.

Almost surely, 2^85473558720 is an apocalyptic number.

85473558720 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 85473558720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166564278504).

85473558720 is an abundant number, since it is smaller than the sum of its proper divisors (247654998288).

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

85473558720 is an equidigital number, since it uses as much as digits as its factorization.

85473558720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3753 (or 3722 counting only the distinct ones).

The product of its (nonzero) digits is 9408000, while the sum is 54.

The spelling of 85473558720 in words is "eighty-five billion, four hundred seventy-three million, five hundred fifty-eight thousand, seven hundred twenty".