5187117600 has 432 divisors, whose sum is σ = 21131772480. Its totient is φ = 1172736000.

The previous prime is 5187117587. The next prime is 5187117631. The reversal of 5187117600 is 67117815.

It is a happy number.

5187117600 is a `hidden beast` number, since 518 + 71 + 1 + 76 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5089891 + ... + 5090909.

It is an arithmetic number, because the mean of its divisors is an integer number (48916140).

Almost surely, 2^5187117600 is an apocalyptic number.

5187117600 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 5187117600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10565886240).

5187117600 is an abundant number, since it is smaller than the sum of its proper divisors (15944654880).

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

5187117600 is a wasteful number, since it uses less digits than its factorization.

5187117600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1153 (or 1137 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 36.

The square root of 5187117600 is about 72021.6467459610. The cubic root of 5187117600 is about 1731.0463559899.

The spelling of 5187117600 in words is "five billion, one hundred eighty-seven million, one hundred seventeen thousand, six hundred".