55311569558784 has 1728 divisors, whose sum is σ = 226138348800000. Its totient is φ = 12809234350080.

The previous prime is 55311569558759. The next prime is 55311569558789. The reversal of 55311569558784 is 48785596511355.

It is a happy number.

55311569558784 is a `hidden beast` number, since 5 + 5 + 3 + 1 + 1 + 5 + 69 + 558 + 7 + 8 + 4 = 666.

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 (55311569558789) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2807826567 + ... + 2807846265.

It is an arithmetic number, because the mean of its divisors is an integer number (130867100000).

Almost surely, 2^{55311569558784} 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 55311569558784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113069174400000).

55311569558784 is an abundant number, since it is smaller than the sum of its proper divisors (170826779241216).

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

55311569558784 is a wasteful number, since it uses less digits than its factorization.

55311569558784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19789 (or 19758 counting only the distinct ones).

The product of its digits is 907200000, while the sum is 72.

The spelling of 55311569558784 in words is "fifty-five trillion, three hundred eleven billion, five hundred sixty-nine million, five hundred fifty-eight thousand, seven hundred eighty-four".