54920453460480 has 960 divisors, whose sum is σ = 202792112759808. Its totient is φ = 13688611799040.

The previous prime is 54920453460479. The next prime is 54920453460529. The reversal of 54920453460480 is 8406435402945.

54920453460480 is a `hidden beast` number, since 5 + 4 + 9 + 2 + 0 + 4 + 534 + 60 + 48 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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 95 ways as a sum of consecutive naturals, for example, 44398102422 + ... + 44398103658.

Almost surely, 2^{54920453460480} 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 54920453460480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101396056379904).

54920453460480 is an abundant number, since it is smaller than the sum of its proper divisors (147871659299328).

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

54920453460480 is a wasteful number, since it uses less digits than its factorization.

54920453460480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1977 (or 1958 counting only the distinct ones).

The product of its (nonzero) digits is 16588800, while the sum is 54.

The spelling of 54920453460480 in words is "fifty-four trillion, nine hundred twenty billion, four hundred fifty-three million, four hundred sixty thousand, four hundred eighty".