90611158080 has 224 divisors, whose sum is σ = 303751244160. Its totient is φ = 22821765120.

The previous prime is 90611158051. The next prime is 90611158109. The reversal of 90611158080 is 8085111609.

It is an interprime number because it is at equal distance from previous prime (90611158051) and next prime (90611158109).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6139510 + ... + 6154250.

It is an arithmetic number, because the mean of its divisors is an integer number (1356032340).

Almost surely, 2^90611158080 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 90611158080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151875622080).

90611158080 is an abundant number, since it is smaller than the sum of its proper divisors (213140086080).

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

90611158080 is a wasteful number, since it uses less digits than its factorization.

90611158080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15117 (or 15107 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 39.

Adding to 90611158080 its reverse (8085111609), we get a palindrome (98696269689).

The spelling of 90611158080 in words is "ninety billion, six hundred eleven million, one hundred fifty-eight thousand, eighty".