5112753190272 has 1536 divisors, whose sum is σ = 19113708257280. Its totient is φ = 1276185673728.

The previous prime is 5112753190261. The next prime is 5112753190319. The reversal of 5112753190272 is 2720913572115.

5112753190272 is a `hidden beast` number, since 5 + 1 + 1 + 2 + 7 + 531 + 90 + 27 + 2 = 666.

It is a super-2 number, since 2×5112753190272² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 40257899073 + ... + 40257899199.

It is an arithmetic number, because the mean of its divisors is an integer number (12443820480).

Almost surely, 2^{5112753190272} is an apocalyptic number.

5112753190272 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 5112753190272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9556854128640).

5112753190272 is an abundant number, since it is smaller than the sum of its proper divisors (14000955067008).

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

5112753190272 is a wasteful number, since it uses less digits than its factorization.

5112753190272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 264600, while the sum is 45.

The spelling of 5112753190272 in words is "five trillion, one hundred twelve billion, seven hundred fifty-three million, one hundred ninety thousand, two hundred seventy-two".