54760974428160 has 3072 divisors, whose sum is σ = 270411208704000. Its totient is φ = 10139923906560.

The previous prime is 54760974428137. The next prime is 54760974428183. The reversal of 54760974428160 is 6182447906745.

54760974428160 is a `hidden beast` number, since 5 + 4 + 7 + 60 + 97 + 4 + 428 + 1 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (54760974428137) and next prime (54760974428183).

It is a tau number, because it is divible by the number of its divisors (3072).

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 255 ways as a sum of consecutive naturals, for example, 8025934509 + ... + 8025941331.

It is an arithmetic number, because the mean of its divisors is an integer number (88024482000).

Almost surely, 2^{54760974428160} 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 54760974428160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135205604352000).

54760974428160 is an abundant number, since it is smaller than the sum of its proper divisors (215650234275840).

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

54760974428160 is a wasteful number, since it uses less digits than its factorization.

54760974428160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6919 (or 6893 counting only the distinct ones).

The product of its (nonzero) digits is 81285120, while the sum is 63.

The spelling of 54760974428160 in words is "fifty-four trillion, seven hundred sixty billion, nine hundred seventy-four million, four hundred twenty-eight thousand, one hundred sixty".