5110066735488 has 384 divisors, whose sum is σ = 17915358988800. Its totient is φ = 1429388052480.

The previous prime is 5110066735471. The next prime is 5110066735493. The reversal of 5110066735488 is 8845376600115.

It is a happy number.

5110066735488 is a `hidden beast` number, since 51 + 100 + 6 + 6 + 7 + 3 + 5 + 488 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-4 number, since 4×5110066735488⁴ (a number of 52 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3873433 + ... + 5022311.

It is an arithmetic number, because the mean of its divisors is an integer number (46654580700).

Almost surely, 2^{5110066735488} 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 5110066735488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8957679494400).

5110066735488 is an abundant number, since it is smaller than the sum of its proper divisors (12805292253312).

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

5110066735488 is a wasteful number, since it uses less digits than its factorization.

5110066735488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1148932 (or 1148908 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 5110066735488 in words is "five trillion, one hundred ten billion, sixty-six million, seven hundred thirty-five thousand, four hundred eighty-eight".