5641487580096 has 336 divisors, whose sum is σ = 16922341502976. Its totient is φ = 1863361511424.

The previous prime is 5641487580083. The next prime is 5641487580101. The reversal of 5641487580096 is 6900857841465.

5641487580096 is a `hidden beast` number, since 5 + 6 + 4 + 1 + 48 + 7 + 580 + 0 + 9 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2403700395 + ... + 2403702741.

It is an arithmetic number, because the mean of its divisors is an integer number (50364111616).

Almost surely, 2^{5641487580096} 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 5641487580096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8461170751488).

5641487580096 is an abundant number, since it is smaller than the sum of its proper divisors (11280853922880).

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

5641487580096 is a wasteful number, since it uses less digits than its factorization.

5641487580096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3718 (or 3696 counting only the distinct ones).

The product of its (nonzero) digits is 58060800, while the sum is 63.

The spelling of 5641487580096 in words is "five trillion, six hundred forty-one billion, four hundred eighty-seven million, five hundred eighty thousand, ninety-six".