55469055907584 has 432 divisors, whose sum is σ = 188132183366400. Its totient is φ = 15535731916800.

The previous prime is 55469055907567. The next prime is 55469055907651. The reversal of 55469055907584 is 48570955096455.

55469055907584 is a `hidden beast` number, since 5 + 5 + 4 + 69 + 0 + 559 + 0 + 7 + 5 + 8 + 4 = 666.

55469055907584 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×55469055907584³ (a number of 42 digits) contains 333 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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18338197 + ... + 21147755.

It is an arithmetic number, because the mean of its divisors is an integer number (435491165200).

Almost surely, 2^{55469055907584} 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 55469055907584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94066091683200).

55469055907584 is an abundant number, since it is smaller than the sum of its proper divisors (132663127458816).

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

55469055907584 is a wasteful number, since it uses less digits than its factorization.

55469055907584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2809652 (or 2809635 counting only the distinct ones).

The product of its (nonzero) digits is 1360800000, while the sum is 72.

The spelling of 55469055907584 in words is "fifty-five trillion, four hundred sixty-nine billion, fifty-five million, nine hundred seven thousand, five hundred eighty-four".