5407583546400 has 288 divisors, whose sum is σ = 20118680322048. Its totient is φ = 1235867366400.

The previous prime is 5407583546359. The next prime is 5407583546429. The reversal of 5407583546400 is 46453857045.

It is a super-2 number, since 2×5407583546400² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 192900385 + ... + 192928415.

It is an arithmetic number, because the mean of its divisors is an integer number (69856528896).

Almost surely, 2^{5407583546400} is an apocalyptic number.

5407583546400 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 5407583546400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10059340161024).

5407583546400 is an abundant number, since it is smaller than the sum of its proper divisors (14711096775648).

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

5407583546400 is a wasteful number, since it uses less digits than its factorization.

5407583546400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39544 (or 39531 counting only the distinct ones).

The product of its (nonzero) digits is 8064000, while the sum is 51.

The spelling of 5407583546400 in words is "five trillion, four hundred seven billion, five hundred eighty-three million, five hundred forty-six thousand, four hundred".