54757212007680 has 6912 divisors, whose sum is σ = 277702483968000. Its totient is φ = 9619359399936.

The previous prime is 54757212007651. The next prime is 54757212007711. The reversal of 54757212007680 is 8670021275745.

54757212007680 is a `hidden beast` number, since 5 + 4 + 7 + 572 + 1 + 2 + 0 + 0 + 7 + 68 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

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 767 ways as a sum of consecutive naturals, for example, 615249573076 + ... + 615249573164.

It is an arithmetic number, because the mean of its divisors is an integer number (40176864000).

Almost surely, 2^{54757212007680} 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 54757212007680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138851241984000).

54757212007680 is an abundant number, since it is smaller than the sum of its proper divisors (222945271960320).

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

54757212007680 is a wasteful number, since it uses less digits than its factorization.

54757212007680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 6585600, while the sum is 54.

The spelling of 54757212007680 in words is "fifty-four trillion, seven hundred fifty-seven billion, two hundred twelve million, seven thousand, six hundred eighty".