5505281126400 has 1248 divisors, whose sum is σ = 20613672426240. Its totient is φ = 1284767744000.

The previous prime is 5505281126393. The next prime is 5505281126491. The reversal of 5505281126400 is 46211825055.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10566758140 + ... + 10566758660.

Almost surely, 2^{5505281126400} is an apocalyptic number.

5505281126400 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 5505281126400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10306836213120).

5505281126400 is an abundant number, since it is smaller than the sum of its proper divisors (15108391299840).

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

5505281126400 is a wasteful number, since it uses less digits than its factorization.

5505281126400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 681 (or 654 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 39.

The spelling of 5505281126400 in words is "five trillion, five hundred five billion, two hundred eighty-one million, one hundred twenty-six thousand, four hundred".