90621148800 has 1536 divisors, whose sum is σ = 393099840000. Its totient is φ = 18207866880.

The previous prime is 90621148789. The next prime is 90621148801. The reversal of 90621148800 is 884112609.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (90621148801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1241385564 + ... + 1241385636.

It is an arithmetic number, because the mean of its divisors is an integer number (255924375).

Almost surely, 2^90621148800 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 90621148800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196549920000).

90621148800 is an abundant number, since it is smaller than the sum of its proper divisors (302478691200).

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

90621148800 is a wasteful number, since it uses less digits than its factorization.

90621148800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 39.

The spelling of 90621148800 in words is "ninety billion, six hundred twenty-one million, one hundred forty-eight thousand, eight hundred".