54147878064 has 720 divisors, whose sum is σ = 194764677120. Its totient is φ = 13954913280.

The previous prime is 54147878053. The next prime is 54147878107. The reversal of 54147878064 is 46087874145.

54147878064 is a `hidden beast` number, since 5 + 41 + 478 + 78 + 0 + 64 = 666.

54147878064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 54147878064.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 236453502 + ... + 236453730.

It is an arithmetic number, because the mean of its divisors is an integer number (270506496).

Almost surely, 2^54147878064 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 54147878064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97382338560).

54147878064 is an abundant number, since it is smaller than the sum of its proper divisors (140616799056).

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

54147878064 is a wasteful number, since it uses less digits than its factorization.

54147878064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 6021120, while the sum is 54.

The spelling of 54147878064 in words is "fifty-four billion, one hundred forty-seven million, eight hundred seventy-eight thousand, sixty-four".