90030255120 has 960 divisors, whose sum is σ = 367843956480. Its totient is φ = 19492503552.

The previous prime is 90030255089. The next prime is 90030255131. The reversal of 90030255120 is 2155203009.

90030255120 is a `hidden beast` number, since 90 + 0 + 3 + 0 + 2 + 551 + 20 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 293258007 + ... + 293258313.

It is an arithmetic number, because the mean of its divisors is an integer number (383170788).

Almost surely, 2^90030255120 is an apocalyptic number.

90030255120 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 90030255120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183921978240).

90030255120 is an abundant number, since it is smaller than the sum of its proper divisors (277813701360).

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

90030255120 is a wasteful number, since it uses less digits than its factorization.

90030255120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 472 (or 463 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

Adding to 90030255120 its reverse (2155203009), we get a palindrome (92185458129).

The spelling of 90030255120 in words is "ninety billion, thirty million, two hundred fifty-five thousand, one hundred twenty".