5388400800 has 144 divisors (see below), whose sum is σ = 19488127680. Its totient is φ = 1436901120.

The previous prime is 5388400777. The next prime is 5388400837. The reversal of 5388400800 is 80048835.

5388400800 is a `hidden beast` number, since 538 + 8 + 40 + 0 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 103132 + ... + 146331.

It is an arithmetic number, because the mean of its divisors is an integer number (135334220).

Almost surely, 2^5388400800 is an apocalyptic number.

5388400800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5388400800 is an abundant number, since it is smaller than the sum of its proper divisors (14099726880).

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

5388400800 is a wasteful number, since it uses less digits than its factorization.

5388400800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249492 (or 249473 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 5388400800 is about 73405.7272969896. The cubic root of 5388400800 is about 1753.1535844234.

The spelling of 5388400800 in words is "five billion, three hundred eighty-eight million, four hundred thousand, eight hundred".