85436607840 has 96 divisors (see below), whose sum is σ = 269938884096. Its totient is φ = 22714222080.

The previous prime is 85436607797. The next prime is 85436607863. The reversal of 85436607840 is 4870663458.

It is a tau number, because it is divible by the number of its divisors (96).

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, 109992 + ... + 427751.

It is an arithmetic number, because the mean of its divisors is an integer number (2811863376).

Almost surely, 2^85436607840 is an apocalyptic number.

85436607840 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

85436607840 is an abundant number, since it is smaller than the sum of its proper divisors (184502276256).

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

85436607840 is a wasteful number, since it uses less digits than its factorization.

85436607840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 538092 (or 538084 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 51.

The spelling of 85436607840 in words is "eighty-five billion, four hundred thirty-six million, six hundred seven thousand, eight hundred forty".