54642205800 has 1536 divisors, whose sum is σ = 254383718400. Its totient is φ = 10450944000.

The previous prime is 54642205757. The next prime is 54642205861. The reversal of 54642205800 is 850224645.

It is a happy number.

54642205800 is a `hidden beast` number, since 5 + 4 + 642 + 2 + 0 + 5 + 8 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 383 ways as a sum of consecutive naturals, for example, 258967695 + ... + 258967905.

It is an arithmetic number, because the mean of its divisors is an integer number (165614400).

Almost surely, 2^54642205800 is an apocalyptic number.

54642205800 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 54642205800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127191859200).

54642205800 is an abundant number, since it is smaller than the sum of its proper divisors (199741512600).

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

54642205800 is a wasteful number, since it uses less digits than its factorization.

54642205800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The spelling of 54642205800 in words is "fifty-four billion, six hundred forty-two million, two hundred five thousand, eight hundred".