85059139200 has 1152 divisors, whose sum is σ = 355277260800. Its totient is φ = 17766604800.

The previous prime is 85059139183. The next prime is 85059139211. The reversal of 85059139200 is 293195058.

It is a Cunningham number, because it is equal to 291649²-1.

It is a super-2 number, since 2×85059139200² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 277065447 + ... + 277065753.

It is an arithmetic number, because the mean of its divisors is an integer number (308400400).

Almost surely, 2^85059139200 is an apocalyptic number.

85059139200 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 85059139200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177638630400).

85059139200 is an abundant number, since it is smaller than the sum of its proper divisors (270218121600).

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

85059139200 is a wasteful number, since it uses less digits than its factorization.

85059139200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398 (or 374 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 42.

The spelling of 85059139200 in words is "eighty-five billion, fifty-nine million, one hundred thirty-nine thousand, two hundred".