5110959267648 has 672 divisors, whose sum is σ = 17015661411840. Its totient is φ = 1453591941120.

The previous prime is 5110959267643. The next prime is 5110959267649. The reversal of 5110959267648 is 8467629590115.

5110959267648 is a `hidden beast` number, since 511 + 0 + 9 + 5 + 9 + 2 + 6 + 76 + 48 = 666.

It is a super-2 number, since 2×5110959267648² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5110959267641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1019945463 + ... + 1019950473.

It is an arithmetic number, because the mean of its divisors is an integer number (25320924720).

Almost surely, 2^{5110959267648} 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 5110959267648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8507830705920).

5110959267648 is an abundant number, since it is smaller than the sum of its proper divisors (11904702144192).

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

5110959267648 is a wasteful number, since it uses less digits than its factorization.

5110959267648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5235 (or 5222 counting only the distinct ones).

The product of its (nonzero) digits is 32659200, while the sum is 63.

The spelling of 5110959267648 in words is "five trillion, one hundred ten billion, nine hundred fifty-nine million, two hundred sixty-seven thousand, six hundred forty-eight".