5407824529296 has 480 divisors, whose sum is σ = 18320934528000. Its totient is φ = 1487388994560.

The previous prime is 5407824529229. The next prime is 5407824529297. The reversal of 5407824529296 is 6929254287045.

5407824529296 is a `hidden beast` number, since 5 + 4 + 0 + 7 + 8 + 2 + 452 + 92 + 96 = 666.

It is a super-2 number, since 2×5407824529296² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (5407824529297) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 141587770 + ... + 141625958.

It is an arithmetic number, because the mean of its divisors is an integer number (38168613600).

Almost surely, 2^{5407824529296} is an apocalyptic number.

5407824529296 is a gapful number since it is divisible by the number (56) 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 5407824529296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9160467264000).

5407824529296 is an abundant number, since it is smaller than the sum of its proper divisors (12913109998704).

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

5407824529296 is a wasteful number, since it uses less digits than its factorization.

5407824529296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38332 (or 38309 counting only the distinct ones).

The product of its (nonzero) digits is 87091200, while the sum is 63.

The spelling of 5407824529296 in words is "five trillion, four hundred seven billion, eight hundred twenty-four million, five hundred twenty-nine thousand, two hundred ninety-six".