54034612627584 has 256 divisors, whose sum is σ = 160490478919680. Its totient is φ = 16019625295872.

The previous prime is 54034612627573. The next prime is 54034612627591. The reversal of 54034612627584 is 48572621643045.

It is a happy 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 31 ways as a sum of consecutive naturals, for example, 10293969 + ... + 14629935.

It is an arithmetic number, because the mean of its divisors is an integer number (626915933280).

Almost surely, 2^{54034612627584} 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 54034612627584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80245239459840).

54034612627584 is an abundant number, since it is smaller than the sum of its proper divisors (106455866292096).

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

54034612627584 is a wasteful number, since it uses less digits than its factorization.

54034612627584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4336107 (or 4336095 counting only the distinct ones).

The product of its (nonzero) digits is 38707200, while the sum is 57.

The spelling of 54034612627584 in words is "fifty-four trillion, thirty-four billion, six hundred twelve million, six hundred twenty-seven thousand, five hundred eighty-four".