85514067840 has 128 divisors (see below), whose sum is σ = 281975450400. Its totient is φ = 22017400832.

The previous prime is 85514067823. The next prime is 85514067871. The reversal of 85514067840 is 4876041558.

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

It is a super-3 number, since 3×85514067840³ (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 a self number, because there is not a number n which added to its sum of digits gives 85514067840.

It is a congruent number.

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, 712227 + ... + 823586.

Almost surely, 2^85514067840 is an apocalyptic number.

85514067840 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

85514067840 is an abundant number, since it is smaller than the sum of its proper divisors (196461382560).

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

85514067840 is a wasteful number, since it uses less digits than its factorization.

85514067840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1535864 (or 1535852 counting only the distinct ones).

The product of its (nonzero) digits is 1075200, while the sum is 48.

The spelling of 85514067840 in words is "eighty-five billion, five hundred fourteen million, sixty-seven thousand, eight hundred forty".