54520188783408 has 240 divisors, whose sum is σ = 156689549976960. Its totient is φ = 17687124596736.

The previous prime is 54520188783407. The next prime is 54520188783433. The reversal of 54520188783408 is 80438788102545.

54520188783408 is a `hidden beast` number, since 5 + 4 + 5 + 201 + 8 + 87 + 8 + 340 + 8 = 666.

54520188783408 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (54520188783407) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 3336804903 + ... + 3336821241.

It is an arithmetic number, because the mean of its divisors is an integer number (652873124904).

Almost surely, 2^{54520188783408} 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 54520188783408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78344774988480).

54520188783408 is an abundant number, since it is smaller than the sum of its proper divisors (102169361193552).

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

54520188783408 is a wasteful number, since it uses less digits than its factorization.

54520188783408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18296 (or 18287 counting only the distinct ones).

The product of its (nonzero) digits is 68812800, while the sum is 63.

The spelling of 54520188783408 in words is "fifty-four trillion, five hundred twenty billion, one hundred eighty-eight million, seven hundred eighty-three thousand, four hundred eight".