5123938569984 has 1080 divisors, whose sum is σ = 17293052367360. Its totient is φ = 1506440871936.

The previous prime is 5123938569943. The next prime is 5123938569991. The reversal of 5123938569984 is 4899658393215.

It is a happy number.

5123938569984 is a `hidden beast` number, since 5 + 1 + 23 + 9 + 38 + 569 + 9 + 8 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

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, 12906646074 + ... + 12906646470.

Almost surely, 2^{5123938569984} is an apocalyptic number.

5123938569984 is a gapful number since it is divisible by the number (54) 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 5123938569984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8646526183680).

5123938569984 is an abundant number, since it is smaller than the sum of its proper divisors (12169113797376).

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

5123938569984 is a wasteful number, since it uses less digits than its factorization.

5123938569984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 607 (or 571 counting only the distinct ones).

The product of its digits is 503884800, while the sum is 72.

The spelling of 5123938569984 in words is "five trillion, one hundred twenty-three billion, nine hundred thirty-eight million, five hundred sixty-nine thousand, nine hundred eighty-four".