54162201600 has 792 divisors, whose sum is σ = 212042834640. Its totient is φ = 13207633920.

The previous prime is 54162201593. The next prime is 54162201703. The reversal of 54162201600 is 610226145.

54162201600 is a `hidden beast` number, since 54 + 1 + 6 + 2 + 2 + 0 + 1 + 600 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 506188747 + ... + 506188853.

Almost surely, 2^54162201600 is an apocalyptic number.

54162201600 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 54162201600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106021417320).

54162201600 is an abundant number, since it is smaller than the sum of its proper divisors (157880633040).

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

54162201600 is a wasteful number, since it uses less digits than its factorization.

54162201600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 54162201600 its reverse (610226145), we get a palindrome (54772427745).

The spelling of 54162201600 in words is "fifty-four billion, one hundred sixty-two million, two hundred one thousand, six hundred".