85106131200 has 648 divisors, whose sum is σ = 314336131200. Its totient is φ = 21958410240.

The previous prime is 85106131189. The next prime is 85106131267. The reversal of 85106131200 is 213160158.

It is a super-2 number, since 2×85106131200² (a number of 23 digits) contains 22 as substring.

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, 268473442 + ... + 268473758.

Almost surely, 2^85106131200 is an apocalyptic number.

85106131200 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 85106131200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157168065600).

85106131200 is an abundant number, since it is smaller than the sum of its proper divisors (229230000000).

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

85106131200 is a wasteful number, since it uses less digits than its factorization.

85106131200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 487 (or 465 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

Adding to 85106131200 its reverse (213160158), we get a palindrome (85319291358).

The spelling of 85106131200 in words is "eighty-five billion, one hundred six million, one hundred thirty-one thousand, two hundred".