90288821145600 has 2496 divisors, whose sum is σ = 426903198351360. Its totient is φ = 18154782720000.

The previous prime is 90288821145581. The next prime is 90288821145737. The reversal of 90288821145600 is 654112888209.

90288821145600 is a `hidden beast` number, since 9 + 0 + 2 + 8 + 8 + 8 + 21 + 1 + 4 + 5 + 600 = 666.

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

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 191 ways as a sum of consecutive naturals, for example, 6599570760 + ... + 6599584440.

Almost surely, 2^{90288821145600} is an apocalyptic number.

90288821145600 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 90288821145600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213451599175680).

90288821145600 is an abundant number, since it is smaller than the sum of its proper divisors (336614377205760).

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

90288821145600 is a wasteful number, since it uses less digits than its factorization.

90288821145600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13773 (or 13740 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 54.

The spelling of 90288821145600 in words is "ninety trillion, two hundred eighty-eight billion, eight hundred twenty-one million, one hundred forty-five thousand, six hundred".