54182401056 has 288 divisors, whose sum is σ = 179188184448. Its totient is φ = 15210270720.

The previous prime is 54182401027. The next prime is 54182401067. The reversal of 54182401056 is 65010428145.

It is a happy number.

54182401056 is a `hidden beast` number, since 541 + 8 + 2 + 4 + 0 + 105 + 6 = 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 (36).

It is a self number, because there is not a number n which added to its sum of digits gives 54182401056.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 51066766 + ... + 51067826.

It is an arithmetic number, because the mean of its divisors is an integer number (622181196).

Almost surely, 2^54182401056 is an apocalyptic number.

54182401056 is a gapful number since it is divisible by the number (56) 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 54182401056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89594092224).

54182401056 is an abundant number, since it is smaller than the sum of its proper divisors (125005783392).

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

54182401056 is a wasteful number, since it uses less digits than its factorization.

54182401056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1504 (or 1493 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The spelling of 54182401056 in words is "fifty-four billion, one hundred eighty-two million, four hundred one thousand, fifty-six".