5110610550144 has 128 divisors (see below), whose sum is σ = 14810516426880. Its totient is φ = 1548527554560.

The previous prime is 5110610550113. The next prime is 5110610550233. The reversal of 5110610550144 is 4410550160115.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×5110610550144² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51597372 + ... + 51696324.

It is an arithmetic number, because the mean of its divisors is an integer number (115707159585).

Almost surely, 2^{5110610550144} 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 5110610550144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7405258213440).

5110610550144 is an abundant number, since it is smaller than the sum of its proper divisors (9699905876736).

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

5110610550144 is a wasteful number, since it uses less digits than its factorization.

5110610550144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111208 (or 111196 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 33.

The spelling of 5110610550144 in words is "five trillion, one hundred ten billion, six hundred ten million, five hundred fifty thousand, one hundred forty-four".