85188837888 has 1200 divisors, whose sum is σ = 334606244544. Its totient is φ = 21319925760.

The previous prime is 85188837863. The next prime is 85188837901. The reversal of 85188837888 is 88873888158.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 827076045 + ... + 827076147.

Almost surely, 2^85188837888 is an apocalyptic number.

85188837888 is a gapful number since it is divisible by the number (88) 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 85188837888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167303122272).

85188837888 is an abundant number, since it is smaller than the sum of its proper divisors (249417406656).

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

85188837888 is a wasteful number, since it uses less digits than its factorization.

85188837888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 163 counting only the distinct ones).

The product of its digits is 220200960, while the sum is 72.

The spelling of 85188837888 in words is "eighty-five billion, one hundred eighty-eight million, eight hundred thirty-seven thousand, eight hundred eighty-eight".