5388029431200 has 576 divisors, whose sum is σ = 21077575948800. Its totient is φ = 1320476774400.

The previous prime is 5388029431133. The next prime is 5388029431229. The reversal of 5388029431200 is 21349208835.

5388029431200 is a `hidden beast` number, since 5 + 3 + 8 + 8 + 0 + 2 + 9 + 431 + 200 = 666.

It is a super-2 number, since 2×5388029431200² (a number of 26 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 64261305 + ... + 64345095.

It is an arithmetic number, because the mean of its divisors is an integer number (36593013800).

Almost surely, 2^{5388029431200} is an apocalyptic number.

5388029431200 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 5388029431200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10538787974400).

5388029431200 is an abundant number, since it is smaller than the sum of its proper divisors (15689546517600).

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

5388029431200 is a wasteful number, since it uses less digits than its factorization.

5388029431200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84062 (or 84043 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 5388029431200 in words is "five trillion, three hundred eighty-eight billion, twenty-nine million, four hundred thirty-one thousand, two hundred".