54885291552000 has 5760 divisors, whose sum is σ = 267986325454848. Its totient is φ = 10839121920000.

The previous prime is 54885291551989. The next prime is 54885291552071. The reversal of 54885291552000 is 25519258845.

54885291552000 is a `hidden beast` number, since 5 + 4 + 8 + 85 + 2 + 9 + 1 + 552 + 0 + 0 + 0 = 666.

54885291552000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (5760).

It is a Harshad number since it is a multiple of its sum of digits (54).

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 639 ways as a sum of consecutive naturals, for example, 363478751925 + ... + 363478752075.

Almost surely, 2^{54885291552000} is an apocalyptic number.

54885291552000 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 54885291552000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133993162727424).

54885291552000 is an abundant number, since it is smaller than the sum of its proper divisors (213101033902848).

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

54885291552000 is a wasteful number, since it uses less digits than its factorization.

54885291552000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 5760000, while the sum is 54.

The spelling of 54885291552000 in words is "fifty-four trillion, eight hundred eighty-five billion, two hundred ninety-one million, five hundred fifty-two thousand".