90328525056 has 1080 divisors, whose sum is σ = 349993138880. Its totient is φ = 22663618560.

The previous prime is 90328525051. The next prime is 90328525057. The reversal of 90328525056 is 65052582309.

90328525056 is a `hidden beast` number, since 90 + 3 + 2 + 8 + 52 + 505 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (90328525051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 649845435 + ... + 649845573.

Almost surely, 2^90328525056 is an apocalyptic number.

90328525056 is a gapful number since it is divisible by the number (96) 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 90328525056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174996569440).

90328525056 is an abundant number, since it is smaller than the sum of its proper divisors (259664613824).

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

90328525056 is a wasteful number, since it uses less digits than its factorization.

90328525056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

The spelling of 90328525056 in words is "ninety billion, three hundred twenty-eight million, five hundred twenty-five thousand, fifty-six".