5112979200 has 540 divisors, whose sum is σ = 21621064080. Its totient is φ = 1167851520.

The previous prime is 5112979171. The next prime is 5112979217. The reversal of 5112979200 is 29792115.

It is a tau number, because it is divible by the number of its divisors (540).

It is a super-2 number, since 2×5112979200² = 52285112599265280000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 3628096 + ... + 3629504.

Almost surely, 2^5112979200 is an apocalyptic number.

5112979200 is a gapful number since it is divisible by the number (50) 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 5112979200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10810532040).

5112979200 is an abundant number, since it is smaller than the sum of its proper divisors (16508084880).

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

5112979200 is a wasteful number, since it uses less digits than its factorization.

5112979200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1454 (or 1426 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 36.

The square root of 5112979200 is about 71505.0991188740. The cubic root of 5112979200 is about 1722.7595867068.

The spelling of 5112979200 in words is "five billion, one hundred twelve million, nine hundred seventy-nine thousand, two hundred".