54098565120 has 336 divisors, whose sum is σ = 194645112480. Its totient is φ = 14424293376.

The previous prime is 54098565047. The next prime is 54098565133. The reversal of 54098565120 is 2156589045.

54098565120 is a `hidden beast` number, since 5 + 40 + 98 + 5 + 6 + 512 + 0 = 666.

It is a super-2 number, since 2×54098565120² (a number of 22 digits) contains 22 as substring.

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 7461337 + ... + 7468583.

It is an arithmetic number, because the mean of its divisors is an integer number (579300930).

Almost surely, 2^54098565120 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 54098565120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97322556240).

54098565120 is an abundant number, since it is smaller than the sum of its proper divisors (140546547360).

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

54098565120 is an frugal number, since it uses more digits than its factorization.

54098565120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7292 (or 7257 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 45.

The spelling of 54098565120 in words is "fifty-four billion, ninety-eight million, five hundred sixty-five thousand, one hundred twenty".