90405211552 has 72 divisors (see below), whose sum is σ = 189236125260. Its totient is φ = 42463733760.

The previous prime is 90405211549. The next prime is 90405211553. The reversal of 90405211552 is 25511250409.

It can be written as a sum of positive squares in 6 ways, for example, as 86461873936 + 3943337616 = 294044^2 + 62796^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90405211553) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1234852 + ... + 1306012.

Almost surely, 2^90405211552 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 90405211552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94618062630).

90405211552 is an abundant number, since it is smaller than the sum of its proper divisors (98830913708).

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

90405211552 is a wasteful number, since it uses less digits than its factorization.

90405211552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71274 (or 71229 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 34.

The spelling of 90405211552 in words is "ninety billion, four hundred five million, two hundred eleven thousand, five hundred fifty-two".