54682918080 has 1344 divisors, whose sum is σ = 232667251200. Its totient is φ = 10776084480.

The previous prime is 54682918079. The next prime is 54682918091. The reversal of 54682918080 is 8081928645.

54682918080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a super-3 number, since 3×54682918080³ (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 896441250 + ... + 896441310.

Almost surely, 2^54682918080 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 54682918080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116333625600).

54682918080 is an abundant number, since it is smaller than the sum of its proper divisors (177984333120).

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

54682918080 is a wasteful number, since it uses less digits than its factorization.

54682918080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 51.

The spelling of 54682918080 in words is "fifty-four billion, six hundred eighty-two million, nine hundred eighteen thousand, eighty".