54649199808000 has 1440 divisors, whose sum is σ = 229376292013440. Its totient is φ = 12469240627200.

The previous prime is 54649199807989. The next prime is 54649199808079. The reversal of 54649199808000 is 80899194645.

54649199808000 is a `hidden beast` number, since 5 + 464 + 9 + 1 + 9 + 98 + 0 + 80 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 20293054654 + ... + 20293057346.

It is an arithmetic number, because the mean of its divisors is an integer number (159289091676).

Almost surely, 2^{54649199808000} is an apocalyptic number.

54649199808000 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 54649199808000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114688146006720).

54649199808000 is an abundant number, since it is smaller than the sum of its proper divisors (174727092205440).

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

54649199808000 is a wasteful number, since it uses less digits than its factorization.

54649199808000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3465 (or 3429 counting only the distinct ones).

The product of its (nonzero) digits is 22394880, while the sum is 63.

The spelling of 54649199808000 in words is "fifty-four trillion, six hundred forty-nine billion, one hundred ninety-nine million, eight hundred eight thousand".