85881600000 has 1152 divisors, whose sum is σ = 368526412800. Its totient is φ = 19353600000.

The previous prime is 85881599989. The next prime is 85881600031. The reversal of 85881600000 is 618858.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1209599965 + ... + 1209600035.

It is an arithmetic number, because the mean of its divisors is an integer number (319901400).

Almost surely, 2^85881600000 is an apocalyptic number.

85881600000 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 85881600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184263206400).

85881600000 is an abundant number, since it is smaller than the sum of its proper divisors (282644812800).

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

85881600000 is an frugal number, since it uses more digits than its factorization.

85881600000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

The spelling of 85881600000 in words is "eighty-five billion, eight hundred eighty-one million, six hundred thousand".