54097288895232 has 1728 divisors, whose sum is σ = 193776105600000. Its totient is φ = 14815072419840.

The previous prime is 54097288895179. The next prime is 54097288895263. The reversal of 54097288895232 is 23259888279045.

It is a happy number.

54097288895232 is a `hidden beast` number, since 5 + 4 + 0 + 97 + 2 + 8 + 8 + 8 + 9 + 523 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 41013865069 + ... + 41013866387.

It is an arithmetic number, because the mean of its divisors is an integer number (112138950000).

Almost surely, 2^{54097288895232} 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 54097288895232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96888052800000).

54097288895232 is an abundant number, since it is smaller than the sum of its proper divisors (139678816704768).

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

54097288895232 is a wasteful number, since it uses less digits than its factorization.

54097288895232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1503 (or 1472 counting only the distinct ones).

The product of its (nonzero) digits is 696729600, while the sum is 72.

The spelling of 54097288895232 in words is "fifty-four trillion, ninety-seven billion, two hundred eighty-eight million, eight hundred ninety-five thousand, two hundred thirty-two".