85488590880 has 2592 divisors, whose sum is σ = 429154951680. Its totient is φ = 15328051200.

The previous prime is 85488590813. The next prime is 85488590927. The reversal of 85488590880 is 8809588458.

85488590880 = T₅₅₇₂₈ + T₅₅₇₂₉ + ... + T₅₅₇₈₂.

85488590880 is a `hidden beast` number, since 8 + 548 + 8 + 5 + 9 + 0 + 8 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 2757696465 + ... + 2757696495.

It is an arithmetic number, because the mean of its divisors is an integer number (165569040).

Almost surely, 2^85488590880 is an apocalyptic number.

85488590880 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 85488590880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214577475840).

85488590880 is an abundant number, since it is smaller than the sum of its proper divisors (343666360800).

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

85488590880 is a wasteful number, since it uses less digits than its factorization.

85488590880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 29491200, while the sum is 63.

The spelling of 85488590880 in words is "eighty-five billion, four hundred eighty-eight million, five hundred ninety thousand, eight hundred eighty".