5496279264000 has 3456 divisors, whose sum is σ = 25213622353920. Its totient is φ = 1121734656000.

The previous prime is 5496279263989. The next prime is 5496279264037. The reversal of 5496279264000 is 4629726945.

5496279264000 is a `hidden beast` number, since 5 + 4 + 9 + 627 + 9 + 2 + 6 + 4 + 0 + 0 + 0 = 666.

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, 77412383965 + ... + 77412384035.

It is an arithmetic number, because the mean of its divisors is an integer number (7295608320).

Almost surely, 2^{5496279264000} is an apocalyptic number.

5496279264000 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 5496279264000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12606811176960).

5496279264000 is an abundant number, since it is smaller than the sum of its proper divisors (19717343089920).

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

5496279264000 is a wasteful number, since it uses less digits than its factorization.

5496279264000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 5496279264000 in words is "five trillion, four hundred ninety-six billion, two hundred seventy-nine million, two hundred sixty-four thousand".