90527654448 has 1440 divisors, whose sum is σ = 376298058240. Its totient is φ = 19926466560.

The previous prime is 90527654423. The next prime is 90527654519. The reversal of 90527654448 is 84445672509.

90527654448 is a `hidden beast` number, since 9 + 0 + 52 + 7 + 6 + 544 + 48 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 90527654394 and 90527654403.

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 287 ways as a sum of consecutive naturals, for example, 576609186 + ... + 576609342.

It is an arithmetic number, because the mean of its divisors is an integer number (261318096).

Almost surely, 2^90527654448 is an apocalyptic number.

90527654448 is a gapful number since it is divisible by the number (98) 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 90527654448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188149029120).

90527654448 is an abundant number, since it is smaller than the sum of its proper divisors (285770403792).

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

90527654448 is a wasteful number, since it uses less digits than its factorization.

90527654448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 90527654448 in words is "ninety billion, five hundred twenty-seven million, six hundred fifty-four thousand, four hundred forty-eight".