54064065440 has 192 divisors, whose sum is σ = 159402297600. Its totient is φ = 16834314240.

The previous prime is 54064065437. The next prime is 54064065457. The reversal of 54064065440 is 4456046045.

It is a junction number, because it is equal to n+sod(n) for n = 54064065394 and 54064065403.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19082264 + ... + 19085096.

It is an arithmetic number, because the mean of its divisors is an integer number (830220300).

Almost surely, 2^54064065440 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 54064065440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79701148800).

54064065440 is an abundant number, since it is smaller than the sum of its proper divisors (105338232160).

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

54064065440 is a wasteful number, since it uses less digits than its factorization.

54064065440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4415 (or 4407 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 38.

The spelling of 54064065440 in words is "fifty-four billion, sixty-four million, sixty-five thousand, four hundred forty".