5450965618700 has 864 divisors, whose sum is σ = 15401304878400. Its totient is φ = 1662954209280.

The previous prime is 5450965618697. The next prime is 5450965618711. The reversal of 5450965618700 is 78165690545.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 13327544096 + ... + 13327544504.

It is an arithmetic number, because the mean of its divisors is an integer number (17825584350).

Almost surely, 2^{5450965618700} is an apocalyptic number.

5450965618700 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 5450965618700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7700652439200).

5450965618700 is an abundant number, since it is smaller than the sum of its proper divisors (9950339259700).

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

5450965618700 is a wasteful number, since it uses less digits than its factorization.

5450965618700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 619 (or 605 counting only the distinct ones).

The product of its (nonzero) digits is 9072000, while the sum is 56.

The spelling of 5450965618700 in words is "five trillion, four hundred fifty billion, nine hundred sixty-five million, six hundred eighteen thousand, seven hundred".