5538078000 has 1280 divisors, whose sum is σ = 25998336000. Its totient is φ = 1117670400.

The previous prime is 5538077983. The next prime is 5538078001. The reversal of 5538078000 is 8708355.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (5538078001) by changing a digit.

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 255 ways as a sum of consecutive naturals, for example, 240785989 + ... + 240786011.

It is an arithmetic number, because the mean of its divisors is an integer number (20311200).

Almost surely, 2^5538078000 is an apocalyptic number.

5538078000 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 5538078000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12999168000).

5538078000 is an abundant number, since it is smaller than the sum of its proper divisors (20460258000).

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

5538078000 is a wasteful number, since it uses less digits than its factorization.

5538078000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 5538078000 is about 74418.2638873012. The cubic root of 5538078000 is about 1769.2383968456.

The spelling of 5538078000 in words is "five billion, five hundred thirty-eight million, seventy-eight thousand".