54065706240 has 1296 divisors, whose sum is σ = 233235967104. Its totient is φ = 10559324160.

The previous prime is 54065706239. The next prime is 54065706241. The reversal of 54065706240 is 4260756045.

It is an interprime number because it is at equal distance from previous prime (54065706239) and next prime (54065706241).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54065706241) 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 143 ways as a sum of consecutive naturals, for example, 1744055025 + ... + 1744055055.

It is an arithmetic number, because the mean of its divisors is an integer number (179966024).

Almost surely, 2^54065706240 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 54065706240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116617983552).

54065706240 is an abundant number, since it is smaller than the sum of its proper divisors (179170260864).

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

54065706240 is a wasteful number, since it uses less digits than its factorization.

54065706240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 39.

The spelling of 54065706240 in words is "fifty-four billion, sixty-five million, seven hundred six thousand, two hundred forty".