5538129400 has 96 divisors (see below), whose sum is σ = 13171813200. Its totient is φ = 2164838400.

The previous prime is 5538129347. The next prime is 5538129409. The reversal of 5538129400 is 49218355.

It is a super-2 number, since 2×5538129400² = 61341754502288720000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 5538129400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5538129409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2134504 + ... + 2137096.

Almost surely, 2^5538129400 is an apocalyptic number.

5538129400 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 5538129400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6585906600).

5538129400 is an abundant number, since it is smaller than the sum of its proper divisors (7633683800).

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

5538129400 is a wasteful number, since it uses less digits than its factorization.

5538129400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2849 (or 2840 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 37.

The square root of 5538129400 is about 74418.6092318313. The cubic root of 5538129400 is about 1769.2438703795.

The spelling of 5538129400 in words is "five billion, five hundred thirty-eight million, one hundred twenty-nine thousand, four hundred".