54950307840 has 288 divisors, whose sum is σ = 191569341600. Its totient is φ = 14567178240.

The previous prime is 54950307827. The next prime is 54950307847. The reversal of 54950307840 is 4870305945.

54950307840 is a `hidden beast` number, since 549 + 5 + 0 + 30 + 78 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is not an unprimeable number, because it can be changed into a prime (54950307847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16494975 + ... + 16498305.

It is an arithmetic number, because the mean of its divisors is an integer number (665171325).

Almost surely, 2^54950307840 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 54950307840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95784670800).

54950307840 is an abundant number, since it is smaller than the sum of its proper divisors (136619033760).

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

54950307840 is a wasteful number, since it uses less digits than its factorization.

54950307840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3543 (or 3520 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 54950307840 in words is "fifty-four billion, nine hundred fifty million, three hundred seven thousand, eight hundred forty".