90243820369920 has 1536 divisors, whose sum is σ = 363897585192960. Its totient is φ = 18621073981440.

The previous prime is 90243820369897. The next prime is 90243820369931. The reversal of 90243820369920 is 2996302834209.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a super-2 number, since 2×90243820369920² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9603466662 + ... + 9603476058.

It is an arithmetic number, because the mean of its divisors is an integer number (236912490360).

Almost surely, 2^{90243820369920} 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 90243820369920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181948792596480).

90243820369920 is an abundant number, since it is smaller than the sum of its proper divisors (273653764823040).

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

90243820369920 is a wasteful number, since it uses less digits than its factorization.

90243820369920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9559 (or 9539 counting only the distinct ones).

The product of its (nonzero) digits is 10077696, while the sum is 57.

The spelling of 90243820369920 in words is "ninety trillion, two hundred forty-three billion, eight hundred twenty million, three hundred sixty-nine thousand, nine hundred twenty".