5187672000 has 896 divisors, whose sum is σ = 22519111680. Its totient is φ = 1144627200.

The previous prime is 5187671981. The next prime is 5187672001. The reversal of 5187672000 is 2767815.

5187672000 is a `hidden beast` number, since 518 + 76 + 72 + 0 + 0 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5187672001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 71063964 + ... + 71064036.

Almost surely, 2^5187672000 is an apocalyptic number.

5187672000 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 5187672000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11259555840).

5187672000 is an abundant number, since it is smaller than the sum of its proper divisors (17331439680).

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

5187672000 is a wasteful number, since it uses less digits than its factorization.

5187672000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The square root of 5187672000 is about 72025.4954859736. The cubic root of 5187672000 is about 1731.1080253013.

The spelling of 5187672000 in words is "five billion, one hundred eighty-seven million, six hundred seventy-two thousand".