54016518961152 has 192 divisors, whose sum is σ = 174556224460800. Its totient is φ = 16368641925120.

The previous prime is 54016518961147. The next prime is 54016518961183. The reversal of 54016518961152 is 25116981561045.

54016518961152 is a `hidden beast` number, since 5 + 4 + 0 + 1 + 6 + 5 + 18 + 9 + 611 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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 (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43794528 + ... + 45011039.

It is an arithmetic number, because the mean of its divisors is an integer number (909147002400).

Almost surely, 2^{54016518961152} is an apocalyptic number.

It is an amenable number.

54016518961152 is an abundant number, since it is smaller than the sum of its proper divisors (120539705499648).

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

54016518961152 is a wasteful number, since it uses less digits than its factorization.

54016518961152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88805609 (or 88805583 counting only the distinct ones).

The product of its (nonzero) digits is 2592000, while the sum is 54.

The spelling of 54016518961152 in words is "fifty-four trillion, sixteen billion, five hundred eighteen million, nine hundred sixty-one thousand, one hundred fifty-two".