54272056241376 has 1152 divisors, whose sum is σ = 176462158279680. Its totient is φ = 16348119072768.

The previous prime is 54272056241369. The next prime is 54272056241419. The reversal of 54272056241376 is 67314265027245.

54272056241376 is a `hidden beast` number, since 5 + 4 + 2 + 7 + 2 + 0 + 5 + 624 + 1 + 3 + 7 + 6 = 666.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 63624918966 + ... + 63624919818.

It is an arithmetic number, because the mean of its divisors is an integer number (153178956840).

Almost surely, 2^{54272056241376} 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 54272056241376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88231079139840).

54272056241376 is an abundant number, since it is smaller than the sum of its proper divisors (122190102038304).

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

54272056241376 is a wasteful number, since it uses less digits than its factorization.

54272056241376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1150 (or 1130 counting only the distinct ones).

The product of its (nonzero) digits is 16934400, while the sum is 54.

The spelling of 54272056241376 in words is "fifty-four trillion, two hundred seventy-two billion, fifty-six million, two hundred forty-one thousand, three hundred seventy-six".