5250218964480 has 3840 divisors, whose sum is σ = 24708818534400. Its totient is φ = 1040555704320.

The previous prime is 5250218964469. The next prime is 5250218964491. The reversal of 5250218964480 is 844698120525.

5250218964480 is a `hidden beast` number, since 5 + 2 + 5 + 0 + 21 + 89 + 64 + 480 = 666.

It is an interprime number because it is at equal distance from previous prime (5250218964469) and next prime (5250218964491).

It is a tau number, because it is divible by the number of its divisors (3840).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 58991224276 + ... + 58991224364.

It is an arithmetic number, because the mean of its divisors is an integer number (6434588160).

Almost surely, 2^{5250218964480} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5250218964480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12354409267200).

5250218964480 is an abundant number, since it is smaller than the sum of its proper divisors (19458599569920).

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

5250218964480 is a wasteful number, since it uses less digits than its factorization.

5250218964480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 54.

The spelling of 5250218964480 in words is "five trillion, two hundred fifty billion, two hundred eighteen million, nine hundred sixty-four thousand, four hundred eighty".