90164300800 has 396 divisors, whose sum is σ = 271491382864. Its totient is φ = 29078323200.

The previous prime is 90164300797. The next prime is 90164300803. The reversal of 90164300800 is 800346109.

It is an interprime number because it is at equal distance from previous prime (90164300797) and next prime (90164300803).

It is a super-2 number, since 2×90164300800² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (90164300803) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 51787930 + ... + 51789670.

Almost surely, 2^90164300800 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 90164300800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135745691432).

90164300800 is an abundant number, since it is smaller than the sum of its proper divisors (181327082064).

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

90164300800 is a wasteful number, since it uses less digits than its factorization.

90164300800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1812 (or 1772 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 31.

Adding to 90164300800 its reverse (800346109), we get a palindrome (90964646909).

The spelling of 90164300800 in words is "ninety billion, one hundred sixty-four million, three hundred thousand, eight hundred".