5557590144 has 160 divisors (see below), whose sum is σ = 16585796700. Its totient is φ = 1847328768.

The previous prime is 5557590113. The next prime is 5557590151. The reversal of 5557590144 is 4410957555.

It is a happy number.

5557590144 is a `hidden beast` number, since 5 + 5 + 57 + 590 + 1 + 4 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5553230400 + 4359744 = 74520^2 + 2088^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 5557590144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5981872 + ... + 5982800.

Almost surely, 2^5557590144 is an apocalyptic number.

5557590144 is a gapful number since it is divisible by the number (54) 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 5557590144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8292898350).

5557590144 is an abundant number, since it is smaller than the sum of its proper divisors (11028206556).

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

5557590144 is an equidigital number, since it uses as much as digits as its factorization.

5557590144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1532 (or 1511 counting only the distinct ones).

The product of its (nonzero) digits is 630000, while the sum is 45.

The square root of 5557590144 is about 74549.2464348232. The cubic root of 5557590144 is about 1771.3137962007.

The spelling of 5557590144 in words is "five billion, five hundred fifty-seven million, five hundred ninety thousand, one hundred forty-four".