85553284992 has 288 divisors, whose sum is σ = 280835851320. Its totient is φ = 23004463104.

The previous prime is 85553284981. The next prime is 85553285017. The reversal of 85553284992 is 29948235558.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5429958 + ... + 5445690.

Almost surely, 2^85553284992 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 85553284992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140417925660).

85553284992 is an abundant number, since it is smaller than the sum of its proper divisors (195282566328).

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

85553284992 is a wasteful number, since it uses less digits than its factorization.

85553284992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15798 (or 15762 counting only the distinct ones).

The product of its digits is 31104000, while the sum is 60.

The spelling of 85553284992 in words is "eighty-five billion, five hundred fifty-three million, two hundred eighty-four thousand, nine hundred ninety-two".