90385183866880 has 1632 divisors, whose sum is σ = 275688089284608. Its totient is φ = 28300227379200.

The previous prime is 90385183866851. The next prime is 90385183866883. The reversal of 90385183866880 is 8866838158309.

90385183866880 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90385183866883) 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, 877526056909 + ... + 877526057011.

Almost surely, 2^{90385183866880} 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 90385183866880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137844044642304).

90385183866880 is an abundant number, since it is smaller than the sum of its proper divisors (185302905417728).

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

90385183866880 is a wasteful number, since it uses less digits than its factorization.

90385183866880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 477757440, while the sum is 73.

The spelling of 90385183866880 in words is "ninety trillion, three hundred eighty-five billion, one hundred eighty-three million, eight hundred sixty-six thousand, eight hundred eighty".