5126671200 has 288 divisors, whose sum is σ = 20076215040. Its totient is φ = 1110067200.

The previous prime is 5126671189. The next prime is 5126671237. The reversal of 5126671200 is 21766215.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 311170 + ... + 327230.

It is an arithmetic number, because the mean of its divisors is an integer number (69709080).

Almost surely, 2^5126671200 is an apocalyptic number.

5126671200 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 5126671200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10038107520).

5126671200 is an abundant number, since it is smaller than the sum of its proper divisors (14949543840).

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

5126671200 is a wasteful number, since it uses less digits than its factorization.

5126671200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16110 (or 16097 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 5126671200 is about 71600.7765321019. The cubic root of 5126671200 is about 1724.2960034235.

The spelling of 5126671200 in words is "five billion, one hundred twenty-six million, six hundred seventy-one thousand, two hundred".