5112769019904 has 1280 divisors, whose sum is σ = 19260225600000. Its totient is φ = 1348422598656.

The previous prime is 5112769019887. The next prime is 5112769019929. The reversal of 5112769019904 is 4099109672115.

It is a happy number.

5112769019904 is a `hidden beast` number, since 511 + 27 + 6 + 9 + 0 + 19 + 90 + 4 = 666.

It is a super-2 number, since 2×5112769019904² (a number of 26 digits) contains 22 as substring.

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 393289924602 + ... + 393289924614.

It is an arithmetic number, because the mean of its divisors is an integer number (15047051250).

Almost surely, 2^{5112769019904} is an apocalyptic number.

5112769019904 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 5112769019904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9630112800000).

5112769019904 is an abundant number, since it is smaller than the sum of its proper divisors (14147456580096).

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

5112769019904 is an frugal number, since it uses more digits than its factorization.

5112769019904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 25 counting only the distinct ones).

The product of its (nonzero) digits is 1224720, while the sum is 54.

The spelling of 5112769019904 in words is "five trillion, one hundred twelve billion, seven hundred sixty-nine million, nineteen thousand, nine hundred four".