5507041280000 has 600 divisors, whose sum is σ = 15197999114760. Its totient is φ = 1981808640000.

The previous prime is 5507041279991. The next prime is 5507041280021. The reversal of 5507041280000 is 821407055.

It can be written as a sum of positive squares in 20 ways, for example, as 4388388143104 + 1118653136896 = 2094848^2 + 1057664^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5457919496 + ... + 5457920504.

Almost surely, 2^{5507041280000} is an apocalyptic number.

5507041280000 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 5507041280000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7598999557380).

5507041280000 is an abundant number, since it is smaller than the sum of its proper divisors (9690957834760).

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

5507041280000 is an equidigital number, since it uses as much as digits as its factorization.

5507041280000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1111 (or 1070 counting only the distinct ones).

The product of its (nonzero) digits is 11200, while the sum is 32.

Adding to 5507041280000 its reverse (821407055), we get a palindrome (5507862687055).

The spelling of 5507041280000 in words is "five trillion, five hundred seven billion, forty-one million, two hundred eighty thousand".