5048260816896 has 936 divisors, whose sum is σ = 16788031408512. Its totient is φ = 1514557440000.

The previous prime is 5048260816861. The next prime is 5048260816919. The reversal of 5048260816896 is 6986180628405.

5048260816896 is a `hidden beast` number, since 5 + 0 + 4 + 8 + 2 + 608 + 16 + 8 + 9 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 20112592771 + ... + 20112593021.

It is an arithmetic number, because the mean of its divisors is an integer number (17935930992).

Almost surely, 2^{5048260816896} 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 5048260816896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8394015704256).

5048260816896 is an abundant number, since it is smaller than the sum of its proper divisors (11739770591616).

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

5048260816896 is a wasteful number, since it uses less digits than its factorization.

5048260816896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 479 (or 434 counting only the distinct ones).

The product of its (nonzero) digits is 39813120, while the sum is 63.

The spelling of 5048260816896 in words is "five trillion, forty-eight billion, two hundred sixty million, eight hundred sixteen thousand, eight hundred ninety-six".