90523428552 has 160 divisors (see below), whose sum is σ = 258076752120. Its totient is φ = 29637135360.

The previous prime is 90523428547. The next prime is 90523428581. The reversal of 90523428552 is 25582432509.

90523428552 is a `hidden beast` number, since 9 + 0 + 52 + 3 + 42 + 8 + 552 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 69092225316 + 21431203236 = 262854^2 + 146394^2 .

It is a super-2 number, since 2×90523428552² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 90523428498 and 90523428507.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 39408268 + ... + 39410564.

Almost surely, 2^90523428552 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 90523428552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129038376060).

90523428552 is an abundant number, since it is smaller than the sum of its proper divisors (167553323568).

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

90523428552 is a wasteful number, since it uses less digits than its factorization.

90523428552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3373 (or 3360 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 45.

The spelling of 90523428552 in words is "ninety billion, five hundred twenty-three million, four hundred twenty-eight thousand, five hundred fifty-two".