54367145239680 has 1536 divisors, whose sum is σ = 255406973472000. Its totient is φ = 10796075974656.

The previous prime is 54367145239591. The next prime is 54367145239709. The reversal of 54367145239680 is 8693254176345.

54367145239680 is a `hidden beast` number, since 5 + 4 + 3 + 6 + 7 + 14 + 523 + 96 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 186979851 + ... + 187270389.

It is a 1-persistent number, because it is pandigital, but 2⋅54367145239680 = 108734290479360 is not.

Almost surely, 2^{54367145239680} 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 54367145239680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127703486736000).

54367145239680 is an abundant number, since it is smaller than the sum of its proper divisors (201039828232320).

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

54367145239680 is a wasteful number, since it uses less digits than its factorization.

54367145239680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290611 (or 290586 counting only the distinct ones).

The product of its (nonzero) digits is 130636800, while the sum is 63.

The spelling of 54367145239680 in words is "fifty-four trillion, three hundred sixty-seven billion, one hundred forty-five million, two hundred thirty-nine thousand, six hundred eighty".