85487715591900 has 288 divisors, whose sum is σ = 256027313203200. Its totient is φ = 22000570368000.

The previous prime is 85487715591893. The next prime is 85487715591911. The reversal of 85487715591900 is 919551778458.

It is a super-2 number, since 2×85487715591900² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10192879507 + ... + 10192887893.

It is an arithmetic number, because the mean of its divisors is an integer number (888983726400).

Almost surely, 2^{85487715591900} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85487715591900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128013656601600).

85487715591900 is an abundant number, since it is smaller than the sum of its proper divisors (170539597611300).

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

85487715591900 is a wasteful number, since it uses less digits than its factorization.

85487715591900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11325 (or 11318 counting only the distinct ones).

The product of its (nonzero) digits is 127008000, while the sum is 69.

The spelling of 85487715591900 in words is "eighty-five trillion, four hundred eighty-seven billion, seven hundred fifteen million, five hundred ninety-one thousand, nine hundred".