54843575040 has 288 divisors, whose sum is σ = 201333182400. Its totient is φ = 14120386560.

The previous prime is 54843575027. The next prime is 54843575053. The reversal of 54843575040 is 4057534845.

54843575040 is a `hidden beast` number, since 54 + 8 + 43 + 57 + 504 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (54843575027) and next prime (54843575053).

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

It is a super-2 number, since 2×54843575040² (a number of 22 digits) contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 974880 + ... + 1029600.

It is an arithmetic number, because the mean of its divisors is an integer number (699073550).

Almost surely, 2^54843575040 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 54843575040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100666591200).

54843575040 is an abundant number, since it is smaller than the sum of its proper divisors (146489607360).

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

54843575040 is a wasteful number, since it uses less digits than its factorization.

54843575040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54780 (or 54760 counting only the distinct ones).

The product of its (nonzero) digits is 1344000, while the sum is 45.

The spelling of 54843575040 in words is "fifty-four billion, eight hundred forty-three million, five hundred seventy-five thousand, forty".