55548267264 has 288 divisors, whose sum is σ = 190316349440. Its totient is φ = 15652528128.

The previous prime is 55548267263. The next prime is 55548267317. The reversal of 55548267264 is 46276284555.

55548267264 is a `hidden beast` number, since 5 + 5 + 548 + 26 + 72 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 55548267264.

It is not an unprimeable number, because it can be changed into a prime (55548267263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3524169 + ... + 3539895.

Almost surely, 2^55548267264 is an apocalyptic number.

55548267264 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55548267264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95158174720).

55548267264 is an abundant number, since it is smaller than the sum of its proper divisors (134768082176).

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

55548267264 is a wasteful number, since it uses less digits than its factorization.

55548267264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15832 (or 15812 counting only the distinct ones).

The product of its digits is 16128000, while the sum is 54.

The spelling of 55548267264 in words is "fifty-five billion, five hundred forty-eight million, two hundred sixty-seven thousand, two hundred sixty-four".