5278968961920 has 1920 divisors, whose sum is σ = 21024932702400. Its totient is φ = 1260244500480.

The previous prime is 5278968961913. The next prime is 5278968961997. The reversal of 5278968961920 is 291698698725.

5278968961920 is a `hidden beast` number, since 5 + 278 + 96 + 89 + 6 + 192 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 38532620092 + ... + 38532620228.

Almost surely, 2^{5278968961920} 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 5278968961920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10512466351200).

5278968961920 is an abundant number, since it is smaller than the sum of its proper divisors (15745963740480).

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

5278968961920 is a wasteful number, since it uses less digits than its factorization.

5278968961920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 235146240, while the sum is 72.

The spelling of 5278968961920 in words is "five trillion, two hundred seventy-eight billion, nine hundred sixty-eight million, nine hundred sixty-one thousand, nine hundred twenty".