90493219840 has 88 divisors (see below), whose sum is σ = 217187273160. Its totient is φ = 36179017728.

The previous prime is 90493219811. The next prime is 90493219849. The reversal of 90493219840 is 4891239409.

It can be written as a sum of positive squares in 4 ways, for example, as 12379677696 + 78113542144 = 111264^2 + 279488^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90493219849) 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 7 ways as a sum of consecutive naturals, for example, 15198304 + ... + 15204256.

It is an arithmetic number, because the mean of its divisors is an integer number (2468037195).

Almost surely, 2^90493219840 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 90493219840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108593636580).

90493219840 is an abundant number, since it is smaller than the sum of its proper divisors (126694053320).

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

90493219840 is a wasteful number, since it uses less digits than its factorization.

90493219840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8947 (or 8929 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 49.

The spelling of 90493219840 in words is "ninety billion, four hundred ninety-three million, two hundred nineteen thousand, eight hundred forty".