5216681543040 has 1536 divisors, whose sum is σ = 21075634944000. Its totient is φ = 1223835402240.

The previous prime is 5216681543011. The next prime is 5216681543041. The reversal of 5216681543040 is 403451866125.

5216681543040 is a `hidden beast` number, since 5 + 2 + 1 + 6 + 68 + 1 + 543 + 0 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5216681543041) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 58614399316 + ... + 58614399404.

It is an arithmetic number, because the mean of its divisors is an integer number (13721116500).

Almost surely, 2^{5216681543040} 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 5216681543040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10537817472000).

5216681543040 is an abundant number, since it is smaller than the sum of its proper divisors (15858953400960).

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

5216681543040 is an frugal number, since it uses more digits than its factorization.

5216681543040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 5216681543040 in words is "five trillion, two hundred sixteen billion, six hundred eighty-one million, five hundred forty-three thousand, forty".