85558110000 has 800 divisors, whose sum is σ = 324317385216. Its totient is φ = 19200000000.

The previous prime is 85558109957. The next prime is 85558110007. The reversal of 85558110000 is 1185558.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (85558110007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 566609925 + ... + 566610075.

Almost surely, 2^85558110000 is an apocalyptic number.

85558110000 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 85558110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162158692608).

85558110000 is an abundant number, since it is smaller than the sum of its proper divisors (238759275216).

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

85558110000 is a wasteful number, since it uses less digits than its factorization.

85558110000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 33.

Adding to 85558110000 its reverse (1185558), we get a palindrome (85559295558).

The spelling of 85558110000 in words is "eighty-five billion, five hundred fifty-eight million, one hundred ten thousand".