55056726144 has 576 divisors, whose sum is σ = 193296430080. Its totient is φ = 14979686400.

The previous prime is 55056726107. The next prime is 55056726149. The reversal of 55056726144 is 44162765055.

55056726144 is a `hidden beast` number, since 5 + 50 + 567 + 26 + 14 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a self number, because there is not a number n which added to its sum of digits gives 55056726144.

It is not an unprimeable number, because it can be changed into a prime (55056726149) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 127741609 + ... + 127742039.

It is an arithmetic number, because the mean of its divisors is an integer number (335584080).

Almost surely, 2^55056726144 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 55056726144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96648215040).

55056726144 is an abundant number, since it is smaller than the sum of its proper divisors (138239703936).

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

55056726144 is a wasteful number, since it uses less digits than its factorization.

55056726144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 569 (or 547 counting only the distinct ones).

The product of its (nonzero) digits is 1008000, while the sum is 45.

The spelling of 55056726144 in words is "fifty-five billion, fifty-six million, seven hundred twenty-six thousand, one hundred forty-four".