90541716890880 has 288 divisors, whose sum is σ = 307433338603776. Its totient is φ = 22658948595712.

The previous prime is 90541716890837. The next prime is 90541716890917. The reversal of 90541716890880 is 8809861714509.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4990317 + ... + 14352236.

It is an arithmetic number, because the mean of its divisors is an integer number (1067476870152).

Almost surely, 2^{90541716890880} is an apocalyptic number.

It is an amenable number.

90541716890880 is an abundant number, since it is smaller than the sum of its proper divisors (216891621712896).

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

90541716890880 is a wasteful number, since it uses less digits than its factorization.

90541716890880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19342653 (or 19342639 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 66.

The spelling of 90541716890880 in words is "ninety trillion, five hundred forty-one billion, seven hundred sixteen million, eight hundred ninety thousand, eight hundred eighty".