90455689280 has 84 divisors (see below), whose sum is σ = 236759457900. Its totient is φ = 32892963840.

The previous prime is 90455689267. The next prime is 90455689297. The reversal of 90455689280 is 8298655409.

It can be written as a sum of positive squares in 2 ways, for example, as 55288938496 + 35166750784 = 235136^2 + 187528^2 .

It is a super-4 number, since 4×90455689280⁴ (a number of 45 digits) contains 4444 as substring.

It is an unprimeable number.

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, 1129355 + ... + 1206794.

It is an arithmetic number, because the mean of its divisors is an integer number (2818564975).

Almost surely, 2^90455689280 is an apocalyptic number.

It is an amenable number.

90455689280 is an abundant number, since it is smaller than the sum of its proper divisors (146303768620).

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

90455689280 is a wasteful number, since it uses less digits than its factorization.

90455689280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2336188 (or 2336167 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 56.

The spelling of 90455689280 in words is "ninety billion, four hundred fifty-five million, six hundred eighty-nine thousand, two hundred eighty".