54572333916672 has 1440 divisors, whose sum is σ = 197294929191360. Its totient is φ = 14313353379840.

The previous prime is 54572333916629. The next prime is 54572333916677. The reversal of 54572333916672 is 27661933327545.

54572333916672 is a `hidden beast` number, since 5 + 4 + 5 + 7 + 233 + 391 + 6 + 6 + 7 + 2 = 666.

It is a super-2 number, since 2×54572333916672² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (54572333916677) 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 143 ways as a sum of consecutive naturals, for example, 96931321063 + ... + 96931321625.

It is an arithmetic number, because the mean of its divisors is an integer number (137010367494).

Almost surely, 2^{54572333916672} is an apocalyptic number.

54572333916672 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54572333916672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98647464595680).

54572333916672 is an abundant number, since it is smaller than the sum of its proper divisors (142722595274688).

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

54572333916672 is a wasteful number, since it uses less digits than its factorization.

54572333916672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1154 (or 1118 counting only the distinct ones).

The product of its digits is 171460800, while the sum is 63.

The spelling of 54572333916672 in words is "fifty-four trillion, five hundred seventy-two billion, three hundred thirty-three million, nine hundred sixteen thousand, six hundred seventy-two".