54943668000 has 1152 divisors, whose sum is σ = 228380705280. Its totient is φ = 12391833600.

The previous prime is 54943667971. The next prime is 54943668029. The reversal of 54943668000 is 86634945.

54943668000 is a `hidden beast` number, since 549 + 43 + 6 + 68 + 0 + 0 + 0 = 666.

54943668000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (54943667971) and next prime (54943668029).

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 329003917 + ... + 329004083.

It is an arithmetic number, because the mean of its divisors is an integer number (198247140).

Almost surely, 2^54943668000 is an apocalyptic number.

54943668000 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 54943668000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114190352640).

54943668000 is an abundant number, since it is smaller than the sum of its proper divisors (173437037280).

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

54943668000 is a wasteful number, since it uses less digits than its factorization.

54943668000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 54943668000 in words is "fifty-four billion, nine hundred forty-three million, six hundred sixty-eight thousand".