55533768643584 has 1584 divisors, whose sum is σ = 216081592496640. Its totient is φ = 13536743915520.

The previous prime is 55533768643579. The next prime is 55533768643589. The reversal of 55533768643584 is 48534686733555.

55533768643584 is a `hidden beast` number, since 5 + 5 + 5 + 3 + 37 + 6 + 8 + 6 + 4 + 3 + 584 = 666.

It is an interprime number because it is at equal distance from previous prime (55533768643579) and next prime (55533768643589).

It is a tau number, because it is divible by the number of its divisors (1584).

It is a super-2 number, since 2×55533768643584² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55533768643589) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 38591916337 + ... + 38591917775.

Almost surely, 2^{55533768643584} 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 55533768643584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108040796248320).

55533768643584 is an abundant number, since it is smaller than the sum of its proper divisors (160547823853056).

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

55533768643584 is a wasteful number, since it uses less digits than its factorization.

55533768643584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1964 (or 1936 counting only the distinct ones).

The product of its digits is 4354560000, while the sum is 72.

The spelling of 55533768643584 in words is "fifty-five trillion, five hundred thirty-three billion, seven hundred sixty-eight million, six hundred forty-three thousand, five hundred eighty-four".