5187046864896 has 1344 divisors, whose sum is σ = 17830007919360. Its totient is φ = 1496336302080.

The previous prime is 5187046864873. The next prime is 5187046864973. The reversal of 5187046864896 is 6984686407815.

5187046864896 is a `hidden beast` number, since 5 + 1 + 8 + 70 + 468 + 6 + 4 + 8 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 22262003596 + ... + 22262003828.

It is an arithmetic number, because the mean of its divisors is an integer number (13266374940).

Almost surely, 2^{5187046864896} 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 5187046864896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8915003959680).

5187046864896 is an abundant number, since it is smaller than the sum of its proper divisors (12642961054464).

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

5187046864896 is a wasteful number, since it uses less digits than its factorization.

5187046864896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 557383680, while the sum is 72.

The spelling of 5187046864896 in words is "five trillion, one hundred eighty-seven billion, forty-six million, eight hundred sixty-four thousand, eight hundred ninety-six".