54106642150624 has 192 divisors, whose sum is σ = 127247754816000. Its totient is φ = 22156307712000.

The previous prime is 54106642150597. The next prime is 54106642150663. The reversal of 54106642150624 is 42605124660145.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1398121227 + ... + 1398159925.

It is an arithmetic number, because the mean of its divisors is an integer number (662748723000).

Almost surely, 2^{54106642150624} 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 54106642150624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63623877408000).

54106642150624 is an abundant number, since it is smaller than the sum of its proper divisors (73141112665376).

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

54106642150624 is a wasteful number, since it uses less digits than its factorization.

54106642150624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40977 (or 40969 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 46.

The spelling of 54106642150624 in words is "fifty-four trillion, one hundred six billion, six hundred forty-two million, one hundred fifty thousand, six hundred twenty-four".