5187757682304 has 192 divisors, whose sum is σ = 15722554380000. Its totient is φ = 1637348898816.

The previous prime is 5187757682273. The next prime is 5187757682311. The reversal of 5187757682304 is 4032867577815.

It is a happy number.

5187757682304 is a `hidden beast` number, since 5 + 187 + 7 + 5 + 76 + 82 + 304 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40801422 + ... + 40928370.

Almost surely, 2^{5187757682304} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5187757682304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7861277190000).

5187757682304 is an abundant number, since it is smaller than the sum of its proper divisors (10534796697696).

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

5187757682304 is a wasteful number, since it uses less digits than its factorization.

5187757682304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128855 (or 128840 counting only the distinct ones).

The product of its (nonzero) digits is 79027200, while the sum is 63.

The spelling of 5187757682304 in words is "five trillion, one hundred eighty-seven billion, seven hundred fifty-seven million, six hundred eighty-two thousand, three hundred four".