54348277890240 has 448 divisors, whose sum is σ = 194775531525120. Its totient is φ = 14262970613760.

The previous prime is 54348277890191. The next prime is 54348277890293. The reversal of 54348277890240 is 4209877284345.

It is a happy number.

54348277890240 is a `hidden beast` number, since 5 + 4 + 3 + 48 + 277 + 89 + 0 + 240 = 666.

54348277890240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 63 ways as a sum of consecutive naturals, for example, 615305280 + ... + 615393600.

It is an arithmetic number, because the mean of its divisors is an integer number (434766811440).

Almost surely, 2^{54348277890240} 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 54348277890240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97387765762560).

54348277890240 is an abundant number, since it is smaller than the sum of its proper divisors (140427253634880).

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

54348277890240 is a wasteful number, since it uses less digits than its factorization.

54348277890240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89477 (or 89461 counting only the distinct ones).

The product of its (nonzero) digits is 108380160, while the sum is 63.

The spelling of 54348277890240 in words is "fifty-four trillion, three hundred forty-eight billion, two hundred seventy-seven million, eight hundred ninety thousand, two hundred forty".