54264944556576 has 288 divisors, whose sum is σ = 175555647146880. Its totient is φ = 15761823436800.

The previous prime is 54264944556551. The next prime is 54264944556593. The reversal of 54264944556576 is 67565544946245.

54264944556576 is a `hidden beast` number, since 5 + 4 + 2 + 6 + 4 + 9 + 4 + 45 + 5 + 6 + 576 = 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 (72).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18631861 + ... + 21346571.

It is an arithmetic number, because the mean of its divisors is an integer number (609568219260).

Almost surely, 2^{54264944556576} 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 54264944556576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87777823573440).

54264944556576 is an abundant number, since it is smaller than the sum of its proper divisors (121290702590304).

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

54264944556576 is a wasteful number, since it uses less digits than its factorization.

54264944556576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2715040 (or 2715029 counting only the distinct ones).

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

The spelling of 54264944556576 in words is "fifty-four trillion, two hundred sixty-four billion, nine hundred forty-four million, five hundred fifty-six thousand, five hundred seventy-six".