90247321600 has 144 divisors (see below), whose sum is σ = 229811072400. Its totient is φ = 35122544640.

The previous prime is 90247321597. The next prime is 90247321607. The reversal of 90247321600 is 612374209.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90247321607) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 1870581 + ... + 1918219.

It is an arithmetic number, because the mean of its divisors is an integer number (1595910225).

Almost surely, 2^90247321600 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 90247321600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114905536200).

90247321600 is an abundant number, since it is smaller than the sum of its proper divisors (139563750800).

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

90247321600 is a wasteful number, since it uses less digits than its factorization.

90247321600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47708 (or 47683 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 34.

Adding to 90247321600 its reverse (612374209), we get a palindrome (90859695809).

The spelling of 90247321600 in words is "ninety billion, two hundred forty-seven million, three hundred twenty-one thousand, six hundred".