54064205944320 has 1280 divisors, whose sum is σ = 208079732044800. Its totient is φ = 11801426657280.

The previous prime is 54064205944297. The next prime is 54064205944349. The reversal of 54064205944320 is 2344950246045.

54064205944320 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 54064205944320.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10419000286 + ... + 10419005474.

It is an arithmetic number, because the mean of its divisors is an integer number (162562290660).

Almost surely, 2^{54064205944320} 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 54064205944320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104039866022400).

54064205944320 is an abundant number, since it is smaller than the sum of its proper divisors (154015526100480).

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

54064205944320 is a wasteful number, since it uses less digits than its factorization.

54064205944320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5471 (or 5455 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 48.

The spelling of 54064205944320 in words is "fifty-four trillion, sixty-four billion, two hundred five million, nine hundred forty-four thousand, three hundred twenty".