5507903467200 has 336 divisors, whose sum is σ = 19271175315840. Its totient is φ = 1372427796480.

The previous prime is 5507903467181. The next prime is 5507903467219. The reversal of 5507903467200 is 27643097055.

It is an interprime number because it is at equal distance from previous prime (5507903467181) and next prime (5507903467219).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 5507903467200.

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, 11099599 + ... + 11585201.

It is an arithmetic number, because the mean of its divisors is an integer number (57354688440).

Almost surely, 2^{5507903467200} is an apocalyptic number.

5507903467200 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 5507903467200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9635587657920).

5507903467200 is an abundant number, since it is smaller than the sum of its proper divisors (13763271848640).

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

5507903467200 is a wasteful number, since it uses less digits than its factorization.

5507903467200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 485784 (or 485769 counting only the distinct ones).

The product of its (nonzero) digits is 1587600, while the sum is 48.

The spelling of 5507903467200 in words is "five trillion, five hundred seven billion, nine hundred three million, four hundred sixty-seven thousand, two hundred".