5513999400 has 768 divisors, whose sum is σ = 23956800000. Its totient is φ = 1158312960.

The previous prime is 5513999389. The next prime is 5513999471. The reversal of 5513999400 is 49993155.

It is a happy number.

5513999400 is a `hidden beast` number, since 5 + 513 + 9 + 99 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 24078486 + ... + 24078714.

It is an arithmetic number, because the mean of its divisors is an integer number (31193750).

Almost surely, 2^5513999400 is an apocalyptic number.

5513999400 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 5513999400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11978400000).

5513999400 is an abundant number, since it is smaller than the sum of its proper divisors (18442800600).

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

5513999400 is a wasteful number, since it uses less digits than its factorization.

5513999400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 218700, while the sum is 45.

The square root of 5513999400 is about 74256.3088228872. The cubic root of 5513999400 is about 1766.6705581181.

The spelling of 5513999400 in words is "five billion, five hundred thirteen million, nine hundred ninety-nine thousand, four hundred".