5114838869280 has 720 divisors, whose sum is σ = 21394574281080. Its totient is φ = 1147039875072.

The previous prime is 5114838869279. The next prime is 5114838869293. The reversal of 5114838869280 is 829688384115.

5114838869280 is a `hidden beast` number, since 5 + 11 + 483 + 8 + 8 + 69 + 2 + 80 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4947973155216 + 166865714064 = 2224404^2 + 408492^2 .

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 33581136 + ... + 33733104.

Almost surely, 2^{5114838869280} 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 5114838869280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10697287140540).

5114838869280 is an abundant number, since it is smaller than the sum of its proper divisors (16279735411800).

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

5114838869280 is a wasteful number, since it uses less digits than its factorization.

5114838869280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152063 (or 152039 counting only the distinct ones).

The product of its (nonzero) digits is 26542080, while the sum is 63.

The spelling of 5114838869280 in words is "five trillion, one hundred fourteen billion, eight hundred thirty-eight million, eight hundred sixty-nine thousand, two hundred eighty".