55649535701760 has 5760 divisors, whose sum is σ = 282409976217600. Its totient is φ = 10300450406400.

The previous prime is 55649535701759. The next prime is 55649535701777. The reversal of 55649535701760 is 6710753594655.

55649535701760 is a `hidden beast` number, since 5 + 5 + 6 + 4 + 9 + 53 + 570 + 1 + 7 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5760).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 157647409744 + ... + 157647410096.

It is an arithmetic number, because the mean of its divisors is an integer number (49029509760).

Almost surely, 2^{55649535701760} 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 55649535701760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141204988108800).

55649535701760 is an abundant number, since it is smaller than the sum of its proper divisors (226760440515840).

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

55649535701760 is a wasteful number, since it uses less digits than its factorization.

55649535701760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 462 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 119070000, while the sum is 63.

The spelling of 55649535701760 in words is "fifty-five trillion, six hundred forty-nine billion, five hundred thirty-five million, seven hundred one thousand, seven hundred sixty".