5110678848000 has 640 divisors, whose sum is σ = 19134626734080. Its totient is φ = 1198970880000.

The previous prime is 5110678847983. The next prime is 5110678848019. The reversal of 5110678848000 is 8488760115.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×5110678848000² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 65432971 + ... + 65511029.

It is an arithmetic number, because the mean of its divisors is an integer number (29897854272).

Almost surely, 2^{5110678848000} is an apocalyptic number.

5110678848000 is a gapful number since it is divisible by the number (50) 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 5110678848000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9567313367040).

5110678848000 is an abundant number, since it is smaller than the sum of its proper divisors (14023947886080).

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

5110678848000 is a wasteful number, since it uses less digits than its factorization.

5110678848000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78137 (or 78111 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 48.

The spelling of 5110678848000 in words is "five trillion, one hundred ten billion, six hundred seventy-eight million, eight hundred forty-eight thousand".