90389378580480 has 5040 divisors, whose sum is σ = 423308201541120. Its totient is φ = 18364231581696.

The previous prime is 90389378580469. The next prime is 90389378580533. The reversal of 90389378580480 is 8408587398309.

90389378580480 is a `hidden beast` number, since 9 + 0 + 3 + 8 + 9 + 37 + 8 + 580 + 4 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5040).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 90389378580399 and 90389378580408.

It is a congruent number.

It is an unprimeable number.

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 335 ways as a sum of consecutive naturals, for example, 1144169349081 + ... + 1144169349159.

It is an arithmetic number, because the mean of its divisors is an integer number (83989722528).

Almost surely, 2^{90389378580480} is an apocalyptic number.

90389378580480 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 90389378580480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211654100770560).

90389378580480 is an abundant number, since it is smaller than the sum of its proper divisors (332918822960640).

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

90389378580480 is an equidigital number, since it uses as much as digits as its factorization.

90389378580480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 418037760, while the sum is 72.

The spelling of 90389378580480 in words is "ninety trillion, three hundred eighty-nine billion, three hundred seventy-eight million, five hundred eighty thousand, four hundred eighty".