8501016090 has 256 divisors, whose sum is σ = 25395793920. Its totient is φ = 1777152000.

The previous prime is 8501016061. The next prime is 8501016109. The reversal of 8501016090 is 906101058.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 33868465 + ... + 33868715.

It is an arithmetic number, because the mean of its divisors is an integer number (99202320).

Almost surely, 2^8501016090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8501016090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12697896960).

8501016090 is an abundant number, since it is smaller than the sum of its proper divisors (16894777830).

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

8501016090 is a wasteful number, since it uses less digits than its factorization.

8501016090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 517.

The product of its (nonzero) digits is 2160, while the sum is 30.

The square root of 8501016090 is about 92200.9549299789. The cubic root of 8501016090 is about 2040.9088678937.

The spelling of 8501016090 in words is "eight billion, five hundred one million, sixteen thousand, ninety".