90211479552 has 468 divisors, whose sum is σ = 286562790280. Its totient is φ = 27248099328.

The previous prime is 90211479551. The next prime is 90211479559. The reversal of 90211479552 is 25597411209.

90211479552 is a `hidden beast` number, since 9 + 0 + 21 + 1 + 4 + 79 + 552 = 666.

It is a super-2 number, since 2×90211479552² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 90211479498 and 90211479507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90211479551) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1529008099 + ... + 1529008157.

Almost surely, 2^90211479552 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 90211479552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143281395140).

90211479552 is an abundant number, since it is smaller than the sum of its proper divisors (196351310728).

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

90211479552 is a wasteful number, since it uses less digits than its factorization.

90211479552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 45.

The spelling of 90211479552 in words is "ninety billion, two hundred eleven million, four hundred seventy-nine thousand, five hundred fifty-two".