5507001504000 has 432 divisors, whose sum is σ = 20677378909824. Its totient is φ = 1404682752000.

The previous prime is 5507001503989. The next prime is 5507001504047. The reversal of 5507001504000 is 4051007055.

5507001504000 is a `hidden beast` number, since 5 + 507 + 0 + 0 + 150 + 4 + 0 + 0 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6208315 + ... + 7039685.

It is an arithmetic number, because the mean of its divisors is an integer number (47864303032).

Almost surely, 2^{5507001504000} is an apocalyptic number.

5507001504000 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 5507001504000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10338689454912).

5507001504000 is an abundant number, since it is smaller than the sum of its proper divisors (15170377405824).

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

5507001504000 is a wasteful number, since it uses less digits than its factorization.

5507001504000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 831431 (or 831404 counting only the distinct ones).

The product of its (nonzero) digits is 3500, while the sum is 27.

The spelling of 5507001504000 in words is "five trillion, five hundred seven billion, one million, five hundred four thousand".