90020810128680 has 384 divisors, whose sum is σ = 304016752166400. Its totient is φ = 23957076844800.

The previous prime is 90020810128679. The next prime is 90020810128687. The reversal of 90020810128680 is 8682101802009.

It is a happy number.

90020810128680 is a `hidden beast` number, since 90 + 0 + 208 + 1 + 0 + 1 + 286 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (90020810128687) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12068746791 + ... + 12068754249.

It is an arithmetic number, because the mean of its divisors is an integer number (791710292100).

Almost surely, 2^{90020810128680} is an apocalyptic number.

90020810128680 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 90020810128680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152008376083200).

90020810128680 is an abundant number, since it is smaller than the sum of its proper divisors (213995942037720).

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

90020810128680 is a wasteful number, since it uses less digits than its factorization.

90020810128680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9827 (or 9811 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 45.

The spelling of 90020810128680 in words is "ninety trillion, twenty billion, eight hundred ten million, one hundred twenty-eight thousand, six hundred eighty".