5511936307680 has 288 divisors, whose sum is σ = 20562301992960. Its totient is φ = 1333435530240.

The previous prime is 5511936307649. The next prime is 5511936307681. The reversal of 5511936307680 is 867036391155.

5511936307680 is a `hidden beast` number, since 5 + 511 + 9 + 3 + 63 + 0 + 7 + 68 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5511936307681) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7224129 + ... + 7950591.

It is an arithmetic number, because the mean of its divisors is an integer number (71396881920).

Almost surely, 2^{5511936307680} 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 5511936307680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10281150996480).

5511936307680 is an abundant number, since it is smaller than the sum of its proper divisors (15050365685280).

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

5511936307680 is a wasteful number, since it uses less digits than its factorization.

5511936307680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 726974 (or 726963 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 54.

The spelling of 5511936307680 in words is "five trillion, five hundred eleven billion, nine hundred thirty-six million, three hundred seven thousand, six hundred eighty".