85553155200 has 768 divisors, whose sum is σ = 314722713600. Its totient is φ = 20342784000.

The previous prime is 85553155183. The next prime is 85553155241. The reversal of 85553155200 is 255135558.

It is a happy 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, 198498985 + ... + 198499415.

It is an arithmetic number, because the mean of its divisors is an integer number (409795200).

Almost surely, 2^85553155200 is an apocalyptic number.

85553155200 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 85553155200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157361356800).

85553155200 is an abundant number, since it is smaller than the sum of its proper divisors (229169558400).

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

85553155200 is a wasteful number, since it uses less digits than its factorization.

85553155200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 541 (or 524 counting only the distinct ones).

The product of its (nonzero) digits is 150000, while the sum is 39.

The spelling of 85553155200 in words is "eighty-five billion, five hundred fifty-three million, one hundred fifty-five thousand, two hundred".