54065636352000 has 6720 divisors, whose sum is σ = 271641254227200. Its totient is φ = 10434222489600.

The previous prime is 54065636351999. The next prime is 54065636352059. The reversal of 54065636352000 is 25363656045.

54065636352000 is a `hidden beast` number, since 5 + 4 + 0 + 6 + 5 + 6 + 3 + 635 + 2 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (6720).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 479 ways as a sum of consecutive naturals, for example, 1864332287986 + ... + 1864332288014.

Almost surely, 2^{54065636352000} is an apocalyptic number.

54065636352000 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 54065636352000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135820627113600).

54065636352000 is an abundant number, since it is smaller than the sum of its proper divisors (217575617875200).

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

54065636352000 is a wasteful number, since it uses less digits than its factorization.

54065636352000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 1944000, while the sum is 45.

The spelling of 54065636352000 in words is "fifty-four trillion, sixty-five billion, six hundred thirty-six million, three hundred fifty-two thousand".