54642161600 has 252 divisors, whose sum is σ = 154169266464. Its totient is φ = 18987171840.

The previous prime is 54642161597. The next prime is 54642161621. The reversal of 54642161600 is 616124645.

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 4590857 + ... + 4602743.

Almost surely, 2^54642161600 is an apocalyptic number.

54642161600 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 54642161600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77084633232).

54642161600 is an abundant number, since it is smaller than the sum of its proper divisors (99527104864).

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

54642161600 is a wasteful number, since it uses less digits than its factorization.

54642161600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11952 (or 11924 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 35.

The spelling of 54642161600 in words is "fifty-four billion, six hundred forty-two million, one hundred sixty-one thousand, six hundred".