90052300800 has 1872 divisors, whose sum is σ = 425904740352. Its totient is φ = 18314035200.

The previous prime is 90052300787. The next prime is 90052300813. The reversal of 90052300800 is 800325009.

It is an interprime number because it is at equal distance from previous prime (90052300787) and next prime (90052300813).

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

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 143 ways as a sum of consecutive naturals, for example, 1916006377 + ... + 1916006423.

It is an arithmetic number, because the mean of its divisors is an integer number (227513216).

Almost surely, 2^90052300800 is an apocalyptic number.

90052300800 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 90052300800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212952370176).

90052300800 is an abundant number, since it is smaller than the sum of its proper divisors (335852439552).

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

90052300800 is a wasteful number, since it uses less digits than its factorization.

90052300800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

Adding to 90052300800 its reverse (800325009), we get a palindrome (90852625809).

The spelling of 90052300800 in words is "ninety billion, fifty-two million, three hundred thousand, eight hundred".