55535841968640 has 320 divisors, whose sum is σ = 197335627961472. Its totient is φ = 13209210060800.

The previous prime is 55535841968623. The next prime is 55535841968641. The reversal of 55535841968640 is 4686914853555.

It is a tau number, because it is divible by the number of its divisors (320).

It is not an unprimeable number, because it can be changed into a prime (55535841968641) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1724301 + ... + 10679180.

Almost surely, 2^{55535841968640} 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 55535841968640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98667813980736).

55535841968640 is an abundant number, since it is smaller than the sum of its proper divisors (141799785992832).

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

55535841968640 is a wasteful number, since it uses less digits than its factorization.

55535841968640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12403571 (or 12403555 counting only the distinct ones).

The product of its (nonzero) digits is 622080000, while the sum is 69.

The spelling of 55535841968640 in words is "fifty-five trillion, five hundred thirty-five billion, eight hundred forty-one million, nine hundred sixty-eight thousand, six hundred forty".