5382949478400 has 1680 divisors, whose sum is σ = 21766522608600. Its totient is φ = 1307144355840.

The previous prime is 5382949478359. The next prime is 5382949478407. The reversal of 5382949478400 is 48749492835.

5382949478400 is a `hidden beast` number, since 5 + 3 + 82 + 9 + 49 + 478 + 40 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 882577575936 + 4500371902464 = 939456^2 + 2121408^2 .

It is a super-2 number, since 2×5382949478400² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (5382949478407) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 23506329486 + ... + 23506329714.

Almost surely, 2^{5382949478400} is an apocalyptic number.

5382949478400 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 5382949478400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10883261304300).

5382949478400 is an abundant number, since it is smaller than the sum of its proper divisors (16383573130200).

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

5382949478400 is a wasteful number, since it uses less digits than its factorization.

5382949478400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 399 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 63.

The spelling of 5382949478400 in words is "five trillion, three hundred eighty-two billion, nine hundred forty-nine million, four hundred seventy-eight thousand, four hundred".