5251779456000 has 2112 divisors, whose sum is σ = 22364970980352. Its totient is φ = 1070530560000.

The previous prime is 5251779455983. The next prime is 5251779456013. The reversal of 5251779456000 is 6549771525.

It is a tau number, because it is divible by the number of its divisors (2112).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 21791615880 + ... + 21791616120.

It is an arithmetic number, because the mean of its divisors is an integer number (10589474896).

Almost surely, 2^{5251779456000} is an apocalyptic number.

5251779456000 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 5251779456000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11182485490176).

5251779456000 is an abundant number, since it is smaller than the sum of its proper divisors (17113191524352).

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

5251779456000 is a wasteful number, since it uses less digits than its factorization.

5251779456000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 375 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 2646000, while the sum is 51.

The spelling of 5251779456000 in words is "five trillion, two hundred fifty-one billion, seven hundred seventy-nine million, four hundred fifty-six thousand".