54567959040 has 640 divisors, whose sum is σ = 229217472000. Its totient is φ = 12039487488.

The previous prime is 54567959023. The next prime is 54567959053. The reversal of 54567959040 is 4095976545.

54567959040 is a `hidden beast` number, since 5 + 4 + 5 + 6 + 7 + 9 + 590 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×54567959040² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 14029416 + ... + 14033304.

It is an arithmetic number, because the mean of its divisors is an integer number (358152300).

Almost surely, 2^54567959040 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 54567959040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114608736000).

54567959040 is an abundant number, since it is smaller than the sum of its proper divisors (174649512960).

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

54567959040 is a wasteful number, since it uses less digits than its factorization.

54567959040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3957 (or 3935 counting only the distinct ones).

The product of its (nonzero) digits is 6804000, while the sum is 54.

The spelling of 54567959040 in words is "fifty-four billion, five hundred sixty-seven million, nine hundred fifty-nine thousand, forty".