90923728896000 has 4536 divisors, whose sum is σ = 451390261146552. Its totient is φ = 17439916032000.

The previous prime is 90923728895947. The next prime is 90923728896037. The reversal of 90923728896000 is 69882732909.

90923728896000 is a `hidden beast` number, since 90 + 92 + 372 + 8 + 8 + 96 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 14323984367616 + 76599744528384 = 3784704^2 + 8752128^2 .

It is a super-3 number, since 3×90923728896000³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

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 215 ways as a sum of consecutive naturals, for example, 6994132991994 + ... + 6994132992006.

Almost surely, 2^{90923728896000} is an apocalyptic number.

90923728896000 is a gapful number since it is divisible by the number (90) 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 90923728896000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225695130573276).

90923728896000 is an abundant number, since it is smaller than the sum of its proper divisors (360466532250552).

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

90923728896000 is an equidigital number, since it uses as much as digits as its factorization.

90923728896000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 23514624, while the sum is 63.

The spelling of 90923728896000 in words is "ninety trillion, nine hundred twenty-three billion, seven hundred twenty-eight million, eight hundred ninety-six thousand".