54144435709440 has 640 divisors, whose sum is σ = 196900165440000. Its totient is φ = 14098376982528.

The previous prime is 54144435709421. The next prime is 54144435709451. The reversal of 54144435709440 is 4490753444145.

54144435709440 is a `hidden beast` number, since 5 + 4 + 1 + 4 + 443 + 5 + 70 + 94 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×54144435709440² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 607589367 + ... + 607678473.

It is an arithmetic number, because the mean of its divisors is an integer number (307656508500).

Almost surely, 2^{54144435709440} 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 54144435709440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98450082720000).

54144435709440 is an abundant number, since it is smaller than the sum of its proper divisors (142755729730560).

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

54144435709440 is a wasteful number, since it uses less digits than its factorization.

54144435709440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89347 (or 89325 counting only the distinct ones).

The product of its (nonzero) digits is 19353600, while the sum is 54.

The spelling of 54144435709440 in words is "fifty-four trillion, one hundred forty-four billion, four hundred thirty-five million, seven hundred nine thousand, four hundred forty".