5556390400 has 480 divisors, whose sum is σ = 16561797120. Its totient is φ = 1824768000.

The previous prime is 5556390391. The next prime is 5556390403. The reversal of 5556390400 is 40936555.

It is a self number, because there is not a number n which added to its sum of digits gives 5556390400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5556390403) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 82931167 + ... + 82931233.

It is an arithmetic number, because the mean of its divisors is an integer number (34503744).

Almost surely, 2^5556390400 is an apocalyptic number.

5556390400 is a gapful number since it is divisible by the number (50) 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 5556390400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8280898560).

5556390400 is an abundant number, since it is smaller than the sum of its proper divisors (11005406720).

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

5556390400 is a wasteful number, since it uses less digits than its factorization.

5556390400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 81000, while the sum is 37.

The square root of 5556390400 is about 74541.1993464017. The cubic root of 5556390400 is about 1771.1863263212.

The spelling of 5556390400 in words is "five billion, five hundred fifty-six million, three hundred ninety thousand, four hundred".