54264487680 has 576 divisors, whose sum is σ = 208610640000. Its totient is φ = 13278117888.

The previous prime is 54264487663. The next prime is 54264487691. The reversal of 54264487680 is 8678446245.

It is a happy number.

54264487680 is a `hidden beast` number, since 5 + 42 + 64 + 487 + 68 + 0 = 666.

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

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 120856096 + ... + 120856544.

It is an arithmetic number, because the mean of its divisors is an integer number (362171250).

Almost surely, 2^54264487680 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 54264487680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104305320000).

54264487680 is an abundant number, since it is smaller than the sum of its proper divisors (154346152320).

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

54264487680 is a wasteful number, since it uses less digits than its factorization.

54264487680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 761 (or 741 counting only the distinct ones).

The product of its (nonzero) digits is 10321920, while the sum is 54.

The spelling of 54264487680 in words is "fifty-four billion, two hundred sixty-four million, four hundred eighty-seven thousand, six hundred eighty".