54137342020608 has 2640 divisors, whose sum is σ = 220089484606464. Its totient is φ = 12827150254080.

The previous prime is 54137342020607. The next prime is 54137342020649. The reversal of 54137342020608 is 80602024373145.

54137342020608 is a `hidden beast` number, since 5 + 4 + 1 + 3 + 7 + 34 + 2 + 0 + 2 + 0 + 608 = 666.

It is not an unprimeable number, because it can be changed into a prime (54137342020607) by changing a digit.

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 239 ways as a sum of consecutive naturals, for example, 525605262285 + ... + 525605262387.

Almost surely, 2^{54137342020608} 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 54137342020608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110044742303232).

54137342020608 is an abundant number, since it is smaller than the sum of its proper divisors (165952142585856).

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

54137342020608 is a wasteful number, since it uses less digits than its factorization.

54137342020608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 54137342020608 in words is "fifty-four trillion, one hundred thirty-seven billion, three hundred forty-two million, twenty thousand, six hundred eight".