90564393920 has 448 divisors, whose sum is σ = 291458635776. Its totient is φ = 25885163520.

The previous prime is 90564393919. The next prime is 90564393923. The reversal of 90564393920 is 2939346509.

It is a tau number, because it is divible by the number of its divisors (448).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90564393923) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 53492594 + ... + 53494286.

It is an arithmetic number, because the mean of its divisors is an integer number (650577312).

Almost surely, 2^90564393920 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 90564393920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145729317888).

90564393920 is an abundant number, since it is smaller than the sum of its proper divisors (200894241856).

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

90564393920 is a wasteful number, since it uses less digits than its factorization.

90564393920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1908 (or 1898 counting only the distinct ones).

The product of its (nonzero) digits is 1574640, while the sum is 50.

It can be divided in two parts, 90564 and 393920, that added together give a palindrome (484484).

The spelling of 90564393920 in words is "ninety billion, five hundred sixty-four million, three hundred ninety-three thousand, nine hundred twenty".