54089141022720 has 1040 divisors, whose sum is σ = 198559177740000. Its totient is φ = 14080339869696.

The previous prime is 54089141022713. The next prime is 54089141022799. The reversal of 54089141022720 is 2722014198045.

54089141022720 is a `hidden beast` number, since 5 + 4 + 0 + 8 + 9 + 1 + 410 + 227 + 2 + 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 polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 14583212226 + ... + 14583215934.

Almost surely, 2^{54089141022720} 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 54089141022720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99279588870000).

54089141022720 is an abundant number, since it is smaller than the sum of its proper divisors (144470036717280).

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

54089141022720 is a wasteful number, since it uses less digits than its factorization.

54089141022720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3958 (or 3927 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 54089141022720 in words is "fifty-four trillion, eighty-nine billion, one hundred forty-one million, twenty-two thousand, seven hundred twenty".