85891377600 has 504 divisors, whose sum is σ = 360157011968. Its totient is φ = 18998323200.

The previous prime is 85891377587. The next prime is 85891377613. The reversal of 85891377600 is 677319858.

It is an interprime number because it is at equal distance from previous prime (85891377587) and next prime (85891377613).

It is a tau number, because it is divible by the number of its divisors (504).

It is a congruent number.

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, 3111057 + ... + 3138543.

Almost surely, 2^85891377600 is an apocalyptic number.

85891377600 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 85891377600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180078505984).

85891377600 is an abundant number, since it is smaller than the sum of its proper divisors (274265634368).

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

85891377600 is a wasteful number, since it uses less digits than its factorization.

85891377600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27553 (or 27535 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 54.

The spelling of 85891377600 in words is "eighty-five billion, eight hundred ninety-one million, three hundred seventy-seven thousand, six hundred".