90959356224 has 168 divisors, whose sum is σ = 288022101120. Its totient is φ = 27214387200.

The previous prime is 90959356219. The next prime is 90959356309. The reversal of 90959356224 is 42265395909.

It is a happy number.

90959356224 is a `hidden beast` number, since 9 + 0 + 9 + 5 + 9 + 3 + 5 + 622 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 409684 + ... + 591404.

Almost surely, 2^90959356224 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 90959356224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144011050560).

90959356224 is an abundant number, since it is smaller than the sum of its proper divisors (197062744896).

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

90959356224 is a wasteful number, since it uses less digits than its factorization.

90959356224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181829 (or 181816 counting only the distinct ones).

The product of its (nonzero) digits is 5248800, while the sum is 54.

The spelling of 90959356224 in words is "ninety billion, nine hundred fifty-nine million, three hundred fifty-six thousand, two hundred twenty-four".