54097165440 has 448 divisors, whose sum is σ = 198106162560. Its totient is φ = 14113253376.

The previous prime is 54097165439. The next prime is 54097165457. The reversal of 54097165440 is 4456179045.

54097165440 is a `hidden beast` number, since 5 + 4 + 0 + 97 + 16 + 544 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 21927087 + ... + 21929553.

Almost surely, 2^54097165440 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 54097165440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99053081280).

54097165440 is an abundant number, since it is smaller than the sum of its proper divisors (144008997120).

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

54097165440 is an equidigital number, since it uses as much as digits as its factorization.

54097165440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2551 (or 2524 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 54097165440 in words is "fifty-four billion, ninety-seven million, one hundred sixty-five thousand, four hundred forty".