54660731040 has 288 divisors, whose sum is σ = 204819451200. Its totient is φ = 13718605824.

The previous prime is 54660731033. The next prime is 54660731093. The reversal of 54660731040 is 4013706645.

It is a happy number.

54660731040 is a `hidden beast` number, since 5 + 4 + 6 + 607 + 3 + 1 + 0 + 40 = 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 = 54660730986 and 54660731004.

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, 619611 + ... + 702309.

It is an arithmetic number, because the mean of its divisors is an integer number (711178650).

Almost surely, 2^54660731040 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 54660731040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102409725600).

54660731040 is an abundant number, since it is smaller than the sum of its proper divisors (150158720160).

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

54660731040 is a wasteful number, since it uses less digits than its factorization.

54660731040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82746 (or 82726 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 54660731040 in words is "fifty-four billion, six hundred sixty million, seven hundred thirty-one thousand, forty".