54872432640 has 672 divisors, whose sum is σ = 203948690400. Its totient is φ = 14141620224.

The previous prime is 54872432639. The next prime is 54872432651. The reversal of 54872432640 is 4623427845.

It is a happy number.

54872432640 is a `hidden beast` number, since 548 + 7 + 2 + 43 + 2 + 64 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 368271286 + ... + 368271434.

It is an arithmetic number, because the mean of its divisors is an integer number (303495075).

Almost surely, 2^54872432640 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 54872432640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101974345200).

54872432640 is an abundant number, since it is smaller than the sum of its proper divisors (149076257760).

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

54872432640 is an equidigital number, since it uses as much as digits as its factorization.

54872432640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 45.

The spelling of 54872432640 in words is "fifty-four billion, eight hundred seventy-two million, four hundred thirty-two thousand, six hundred forty".