54949606912000 has 416 divisors, whose sum is σ = 143235493300224. Its totient is φ = 21004296192000.

The previous prime is 54949606911961. The next prime is 54949606912019. The reversal of 54949606912000 is 21960694945.

54949606912000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a zygodrome in base 2.

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 31 ways as a sum of consecutive naturals, for example, 20572670665 + ... + 20572673335.

It is an arithmetic number, because the mean of its divisors is an integer number (344316089664).

Almost surely, 2^{54949606912000} is an apocalyptic number.

54949606912000 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 54949606912000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71617746650112).

54949606912000 is an abundant number, since it is smaller than the sum of its proper divisors (88285886388224).

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

54949606912000 is a wasteful number, since it uses less digits than its factorization.

54949606912000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4480 (or 4448 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 55.

The spelling of 54949606912000 in words is "fifty-four trillion, nine hundred forty-nine billion, six hundred six million, nine hundred twelve thousand".