54535233451140 has 216 divisors, whose sum is σ = 179150895305928. Its totient is φ = 13422286725120.

The previous prime is 54535233451129. The next prime is 54535233451199. The reversal of 54535233451140 is 4115433253545.

54535233451140 is a `hidden beast` number, since 5 + 4 + 5 + 3 + 52 + 3 + 3 + 451 + 140 = 666.

54535233451140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 29240147797056 + 25295085654084 = 5407416^2 + 5029422^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 238408902 + ... + 238637538.

It is an arithmetic number, because the mean of its divisors is an integer number (829402293083).

Almost surely, 2^{54535233451140} 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 54535233451140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89575447652964).

54535233451140 is an abundant number, since it is smaller than the sum of its proper divisors (124615661854788).

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

54535233451140 is a wasteful number, since it uses less digits than its factorization.

54535233451140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236519 (or 236501 counting only the distinct ones).

The product of its (nonzero) digits is 2160000, while the sum is 45.

The spelling of 54535233451140 in words is "fifty-four trillion, five hundred thirty-five billion, two hundred thirty-three million, four hundred fifty-one thousand, one hundred forty".