54200050001856 has 1120 divisors, whose sum is σ = 186666297776640. Its totient is φ = 15505966080000.

The previous prime is 54200050001819. The next prime is 54200050001869. The reversal of 54200050001856 is 65810005000245.

54200050001856 is a `hidden beast` number, since 5 + 420 + 0 + 0 + 50 + 0 + 0 + 185 + 6 = 666.

54200050001856 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 54200050001856.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 52570368061 + ... + 52570369091.

Almost surely, 2^{54200050001856} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54200050001856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93333148888320).

54200050001856 is an abundant number, since it is smaller than the sum of its proper divisors (132466247774784).

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

54200050001856 is a wasteful number, since it uses less digits than its factorization.

54200050001856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1508 (or 1467 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The spelling of 54200050001856 in words is "fifty-four trillion, two hundred billion, fifty million, one thousand, eight hundred fifty-six".