54164684271600 has 720 divisors, whose sum is σ = 226773735552000. Its totient is φ = 11695250810880.

The previous prime is 54164684271563. The next prime is 54164684271631. The reversal of 54164684271600 is 617248646145.

54164684271600 is a `hidden beast` number, since 5 + 4 + 1 + 6 + 4 + 6 + 8 + 4 + 27 + 1 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×54164684271600² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 166939129 + ... + 167263271.

It is an arithmetic number, because the mean of its divisors is an integer number (314963521600).

Almost surely, 2^{54164684271600} is an apocalyptic number.

54164684271600 is a gapful number since it is divisible by the number (50) 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 54164684271600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113386867776000).

54164684271600 is an abundant number, since it is smaller than the sum of its proper divisors (172609051280400).

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

54164684271600 is a wasteful number, since it uses less digits than its factorization.

54164684271600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324542 (or 324528 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 54164684271600 in words is "fifty-four trillion, one hundred sixty-four billion, six hundred eighty-four million, two hundred seventy-one thousand, six hundred".