90231321600 has 1056 divisors, whose sum is σ = 401332527360. Its totient is φ = 19393413120.

The previous prime is 90231321589. The next prime is 90231321611. The reversal of 90231321600 is 612313209.

90231321600 is a `hidden beast` number, since 9 + 0 + 2 + 31 + 3 + 21 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (90231321589) and next prime (90231321611).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 82252252 + ... + 82253348.

Almost surely, 2^90231321600 is an apocalyptic number.

90231321600 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 90231321600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200666263680).

90231321600 is an abundant number, since it is smaller than the sum of its proper divisors (311101205760).

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

90231321600 is a wasteful number, since it uses less digits than its factorization.

90231321600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1160 (or 1131 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

Adding to 90231321600 its reverse (612313209), we get a palindrome (90843634809).

The spelling of 90231321600 in words is "ninety billion, two hundred thirty-one million, three hundred twenty-one thousand, six hundred".