90393211028736 has 648 divisors, whose sum is σ = 339523883479872. Its totient is φ = 23478742425600.

The previous prime is 90393211028699. The next prime is 90393211028753. The reversal of 90393211028736 is 63782011239309.

90393211028736 is a `hidden beast` number, since 9 + 0 + 3 + 9 + 321 + 1 + 0 + 287 + 36 = 666.

It is a tau number, because it is divible by the number of its divisors (648).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 51832396 + ... + 53547956.

Almost surely, 2^{90393211028736} is an apocalyptic number.

90393211028736 is a gapful number since it is divisible by the number (96) 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 90393211028736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169761941739936).

90393211028736 is an abundant number, since it is smaller than the sum of its proper divisors (249130672451136).

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

90393211028736 is a wasteful number, since it uses less digits than its factorization.

90393211028736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1715621 (or 1715584 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The spelling of 90393211028736 in words is "ninety trillion, three hundred ninety-three billion, two hundred eleven million, twenty-eight thousand, seven hundred thirty-six".