90544366080 has 1120 divisors, whose sum is σ = 386428838400. Its totient is φ = 19898597376.

The previous prime is 90544366067. The next prime is 90544366127. The reversal of 90544366080 is 8066344509.

90544366080 is a `hidden beast` number, since 9 + 0 + 5 + 4 + 4 + 36 + 608 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1120).

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

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 378846601 + ... + 378846839.

Almost surely, 2^90544366080 is an apocalyptic number.

90544366080 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 90544366080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193214419200).

90544366080 is an abundant number, since it is smaller than the sum of its proper divisors (295884472320).

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

90544366080 is an equidigital number, since it uses as much as digits as its factorization.

90544366080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 90544366080 in words is "ninety billion, five hundred forty-four million, three hundred sixty-six thousand, eighty".