54690068160 has 1344 divisors, whose sum is σ = 254905459200. Its totient is φ = 10910785536.

The previous prime is 54690068119. The next prime is 54690068207. The reversal of 54690068160 is 6186009645.

54690068160 is a `hidden beast` number, since 546 + 90 + 0 + 6 + 8 + 16 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 104569659 + ... + 104570181.

It is an arithmetic number, because the mean of its divisors is an integer number (189661800).

Almost surely, 2^54690068160 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 54690068160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127452729600).

54690068160 is an abundant number, since it is smaller than the sum of its proper divisors (200215391040).

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

54690068160 is a wasteful number, since it uses less digits than its factorization.

54690068160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 595 (or 572 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 54690068160 in words is "fifty-four billion, six hundred ninety million, sixty-eight thousand, one hundred sixty".