54168973372080 has 800 divisors, whose sum is σ = 226624869187200. Its totient is φ = 11728959750144.

The previous prime is 54168973372057. The next prime is 54168973372081. The reversal of 54168973372080 is 8027337986145.

54168973372080 is a `hidden beast` number, since 5 + 4 + 1 + 6 + 8 + 97 + 337 + 208 + 0 = 666.

It is a super-2 number, since 2×54168973372080² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 54168973371999 and 54168973372017.

It is not an unprimeable number, because it can be changed into a prime (54168973372081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 69329836 + ... + 70106804.

It is an arithmetic number, because the mean of its divisors is an integer number (283281086484).

It is a 1-persistent number, because it is pandigital, but 2⋅54168973372080 = 108337946744160 is not.

Almost surely, 2^{54168973372080} 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 54168973372080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113312434593600).

54168973372080 is an abundant number, since it is smaller than the sum of its proper divisors (172455895815120).

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

54168973372080 is a wasteful number, since it uses less digits than its factorization.

54168973372080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 777083 (or 777068 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 63.

The spelling of 54168973372080 in words is "fifty-four trillion, one hundred sixty-eight billion, nine hundred seventy-three million, three hundred seventy-two thousand, eighty".