90019006560 has 480 divisors, whose sum is σ = 384440696640. Its totient is φ = 19365101568.

The previous prime is 90019006549. The next prime is 90019006631. The reversal of 90019006560 is 6560091009.

90019006560 is a `hidden beast` number, since 9 + 0 + 0 + 1 + 90 + 0 + 6 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1513056 + ... + 1571424.

It is an arithmetic number, because the mean of its divisors is an integer number (800918118).

Almost surely, 2^90019006560 is an apocalyptic number.

90019006560 is a gapful number since it is divisible by the number (90) 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 90019006560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192220348320).

90019006560 is an abundant number, since it is smaller than the sum of its proper divisors (294421690080).

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

90019006560 is a wasteful number, since it uses less digits than its factorization.

90019006560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58420 (or 58403 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 36.

Adding to 90019006560 its reverse (6560091009), we get a palindrome (96579097569).

The spelling of 90019006560 in words is "ninety billion, nineteen million, six thousand, five hundred sixty".