5504961396000 has 384 divisors, whose sum is σ = 19694051500032. Its totient is φ = 1333157760000.

The previous prime is 5504961395981. The next prime is 5504961396031. The reversal of 5504961396000 is 6931694055.

It is a happy number.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 130790959 + ... + 130833041.

It is an arithmetic number, because the mean of its divisors is an integer number (51286592448).

Almost surely, 2^{5504961396000} is an apocalyptic number.

5504961396000 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 5504961396000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9847025750016).

5504961396000 is an abundant number, since it is smaller than the sum of its proper divisors (14189090104032).

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

5504961396000 is a wasteful number, since it uses less digits than its factorization.

5504961396000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43113 (or 43095 counting only the distinct ones).

The product of its (nonzero) digits is 874800, while the sum is 48.

The spelling of 5504961396000 in words is "five trillion, five hundred four billion, nine hundred sixty-one million, three hundred ninety-six thousand".