90153569326080 has 704 divisors, whose sum is σ = 320949057945600. Its totient is φ = 21448955658240.

The previous prime is 90153569326013. The next prime is 90153569326081. The reversal of 90153569326080 is 8062396535109.

It is a self number, because there is not a number n which added to its sum of digits gives 90153569326080.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90153569326081) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5193468441 + ... + 5193485799.

Almost surely, 2^{90153569326080} 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 90153569326080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160474528972800).

90153569326080 is an abundant number, since it is smaller than the sum of its proper divisors (230795488619520).

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

90153569326080 is a wasteful number, since it uses less digits than its factorization.

90153569326080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18270 (or 18252 counting only the distinct ones).

The product of its (nonzero) digits is 10497600, while the sum is 57.

The spelling of 90153569326080 in words is "ninety trillion, one hundred fifty-three billion, five hundred sixty-nine million, three hundred twenty-six thousand, eighty".