5119828826112 has 1536 divisors, whose sum is σ = 21564739123200. Its totient is φ = 1155111321600.

The previous prime is 5119828826093. The next prime is 5119828826141. The reversal of 5119828826112 is 2116288289115.

5119828826112 is a `hidden beast` number, since 5 + 1 + 1 + 98 + 288 + 261 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

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 127 ways as a sum of consecutive naturals, for example, 940969312 + ... + 940974752.

It is an arithmetic number, because the mean of its divisors is an integer number (14039543700).

Almost surely, 2^{5119828826112} is an apocalyptic number.

5119828826112 is a gapful number since it is divisible by the number (52) 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 5119828826112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10782369561600).

5119828826112 is an abundant number, since it is smaller than the sum of its proper divisors (16444910297088).

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

5119828826112 is a wasteful number, since it uses less digits than its factorization.

5119828826112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5520 (or 5494 counting only the distinct ones).

The product of its digits is 1105920, while the sum is 54.

The spelling of 5119828826112 in words is "five trillion, one hundred nineteen billion, eight hundred twenty-eight million, eight hundred twenty-six thousand, one hundred twelve".