5110759038336 has 768 divisors, whose sum is σ = 17018926848000. Its totient is φ = 1350008045568.

The previous prime is 5110759038331. The next prime is 5110759038379. The reversal of 5110759038336 is 6338309570115.

It is a super-2 number, since 2×5110759038336² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5110759038331) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6645980160 + ... + 6645980928.

It is an arithmetic number, because the mean of its divisors is an integer number (22160061000).

Almost surely, 2^{5110759038336} is an apocalyptic number.

5110759038336 is a gapful number since it is divisible by the number (56) 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 5110759038336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8509463424000).

5110759038336 is an abundant number, since it is smaller than the sum of its proper divisors (11908167809664).

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

5110759038336 is a wasteful number, since it uses less digits than its factorization.

5110759038336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1159 (or 1140 counting only the distinct ones).

The product of its (nonzero) digits is 2041200, while the sum is 51.

The spelling of 5110759038336 in words is "five trillion, one hundred ten billion, seven hundred fifty-nine million, thirty-eight thousand, three hundred thirty-six".