54251540640 has 288 divisors, whose sum is σ = 208713516480. Its totient is φ = 13151761920.

The previous prime is 54251540557. The next prime is 54251540647. The reversal of 54251540640 is 4604515245.

54251540640 is a `hidden beast` number, since 5 + 4 + 2 + 5 + 1 + 5 + 4 + 0 + 640 = 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 junction number, because it is equal to n+sod(n) for n = 54251540595 and 54251540604.

It is not an unprimeable number, because it can be changed into a prime (54251540647) 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 47 ways as a sum of consecutive naturals, for example, 470827 + ... + 574613.

It is an arithmetic number, because the mean of its divisors is an integer number (724699710).

Almost surely, 2^54251540640 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 54251540640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104356758240).

54251540640 is an abundant number, since it is smaller than the sum of its proper divisors (154461975840).

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

54251540640 is a wasteful number, since it uses less digits than its factorization.

54251540640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103833 (or 103808 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

The spelling of 54251540640 in words is "fifty-four billion, two hundred fifty-one million, five hundred forty thousand, six hundred forty".