85590288000000 has 3696 divisors, whose sum is σ = 384191394787200. Its totient is φ = 17915904000000.

The previous prime is 85590287999989. The next prime is 85590288000017. The reversal of 85590288000000 is 88209558.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 85590288000000.

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 785231999946 + ... + 785232000054.

It is an arithmetic number, because the mean of its divisors is an integer number (103947888200).

Almost surely, 2^{85590288000000} is an apocalyptic number.

85590288000000 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 85590288000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192095697393600).

85590288000000 is an abundant number, since it is smaller than the sum of its proper divisors (298601106787200).

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

85590288000000 is a wasteful number, since it uses less digits than its factorization.

85590288000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 45.

The spelling of 85590288000000 in words is "eighty-five trillion, five hundred ninety billion, two hundred eighty-eight million", and thus it is an aban number.