85476016080 has 960 divisors, whose sum is σ = 370164307968. Its totient is φ = 17194844160.

The previous prime is 85476016063. The next prime is 85476016103. The reversal of 85476016080 is 8061067458.

It is a happy number.

It is a super-2 number, since 2×85476016080² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 126256702 + ... + 126257378.

Almost surely, 2^85476016080 is an apocalyptic number.

85476016080 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 85476016080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185082153984).

85476016080 is an abundant number, since it is smaller than the sum of its proper divisors (284688291888).

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

85476016080 is a wasteful number, since it uses less digits than its factorization.

85476016080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 804 (or 795 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 85476016080 in words is "eighty-five billion, four hundred seventy-six million, sixteen thousand, eighty".