5487406080000 has 560 divisors, whose sum is σ = 19691591936016. Its totient is φ = 1350696960000.

The previous prime is 5487406079999. The next prime is 5487406080001. The reversal of 5487406080000 is 806047845.

It is an interprime number because it is at equal distance from previous prime (5487406079999) and next prime (5487406080001).

It is a super-2 number, since 2×5487406080000² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5487406080001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 199666260 + ... + 199693740.

Almost surely, 2^{5487406080000} is an apocalyptic number.

5487406080000 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 5487406080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9845795968008).

5487406080000 is an abundant number, since it is smaller than the sum of its proper divisors (14204185856016).

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

5487406080000 is an equidigital number, since it uses as much as digits as its factorization.

5487406080000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27543 (or 27504 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 42.

The spelling of 5487406080000 in words is "five trillion, four hundred eighty-seven billion, four hundred six million, eighty thousand".