5590179840 has 448 divisors, whose sum is σ = 20961851904. Its totient is φ = 1245708288.

The previous prime is 5590179821. The next prime is 5590179851. The reversal of 5590179840 is 489710955.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×5590179840² = 62500221287084851200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 5590179840.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57630672 + ... + 57630768.

It is an arithmetic number, because the mean of its divisors is an integer number (46789848).

Almost surely, 2^5590179840 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 5590179840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10480925952).

5590179840 is an abundant number, since it is smaller than the sum of its proper divisors (15371672064).

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

5590179840 is an equidigital number, since it uses as much as digits as its factorization.

5590179840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 48.

The square root of 5590179840 is about 74767.5052412477. The cubic root of 5590179840 is about 1774.7693771651.

The spelling of 5590179840 in words is "five billion, five hundred ninety million, one hundred seventy-nine thousand, eight hundred forty".