85312664640 has 448 divisors, whose sum is σ = 355062251520. Its totient is φ = 18870589440.

The previous prime is 85312664573. The next prime is 85312664681. The reversal of 85312664640 is 4646621358.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1852129 + ... + 1897631.

Almost surely, 2^85312664640 is an apocalyptic number.

85312664640 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 85312664640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177531125760).

85312664640 is an abundant number, since it is smaller than the sum of its proper divisors (269749586880).

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

85312664640 is a wasteful number, since it uses less digits than its factorization.

85312664640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45567 (or 45551 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 85312664640 in words is "eighty-five billion, three hundred twelve million, six hundred sixty-four thousand, six hundred forty".