90833740800 has 528 divisors, whose sum is σ = 344799955200. Its totient is φ = 20857651200.

The previous prime is 90833740799. The next prime is 90833740807. The reversal of 90833740800 is 804733809.

It is a tau number, because it is divible by the number of its divisors (528).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90833740807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16048371 + ... + 16054029.

Almost surely, 2^90833740800 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 90833740800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172399977600).

90833740800 is an abundant number, since it is smaller than the sum of its proper divisors (253966214400).

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

90833740800 is a wasteful number, since it uses less digits than its factorization.

90833740800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5722 (or 5699 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The spelling of 90833740800 in words is "ninety billion, eight hundred thirty-three million, seven hundred forty thousand, eight hundred".