90505606044096 has 336 divisors, whose sum is σ = 261692962422528. Its totient is φ = 29905376256000.

The previous prime is 90505606044067. The next prime is 90505606044169. The reversal of 90505606044096 is 69044060650509.

90505606044096 is a `hidden beast` number, since 9 + 0 + 5 + 0 + 56 + 0 + 60 + 440 + 96 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 51806299095 + ... + 51806300841.

It is an arithmetic number, because the mean of its divisors is an integer number (778848102448).

Almost surely, 2^{90505606044096} is an apocalyptic number.

90505606044096 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 90505606044096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130846481211264).

90505606044096 is an abundant number, since it is smaller than the sum of its proper divisors (171187356378432).

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

90505606044096 is a wasteful number, since it uses less digits than its factorization.

90505606044096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3440 (or 3427 counting only the distinct ones).

The product of its (nonzero) digits is 6998400, while the sum is 54.

The spelling of 90505606044096 in words is "ninety trillion, five hundred five billion, six hundred six million, forty-four thousand, ninety-six".