90639123189120 has 2304 divisors, whose sum is σ = 369860819328000. Its totient is φ = 20958372864000.

The previous prime is 90639123189113. The next prime is 90639123189227. The reversal of 90639123189120 is 2198132193609.

90639123189120 is a `hidden beast` number, since 9 + 0 + 6 + 391 + 231 + 8 + 9 + 12 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 158737518435 + ... + 158737519005.

It is an arithmetic number, because the mean of its divisors is an integer number (160529869500).

Almost surely, 2^{90639123189120} is an apocalyptic number.

90639123189120 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 90639123189120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184930409664000).

90639123189120 is an abundant number, since it is smaller than the sum of its proper divisors (279221696138880).

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

90639123189120 is a wasteful number, since it uses less digits than its factorization.

90639123189120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 762 (or 702 counting only the distinct ones).

The product of its (nonzero) digits is 1259712, while the sum is 54.

The spelling of 90639123189120 in words is "ninety trillion, six hundred thirty-nine billion, one hundred twenty-three million, one hundred eighty-nine thousand, one hundred twenty".