54247782240 has 384 divisors, whose sum is σ = 195795532800. Its totient is φ = 14019194880.

The previous prime is 54247782223. The next prime is 54247782263. The reversal of 54247782240 is 4228774245.

54247782240 is a `hidden beast` number, since 542 + 4 + 7 + 7 + 82 + 24 + 0 = 666.

54247782240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 63 ways as a sum of consecutive naturals, for example, 28869621 + ... + 28871499.

It is an arithmetic number, because the mean of its divisors is an integer number (509884200).

Almost surely, 2^54247782240 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 54247782240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97897766400).

54247782240 is an abundant number, since it is smaller than the sum of its proper divisors (141547750560).

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

54247782240 is a wasteful number, since it uses less digits than its factorization.

54247782240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2107 (or 2093 counting only the distinct ones).

The product of its (nonzero) digits is 1003520, while the sum is 45.

The spelling of 54247782240 in words is "fifty-four billion, two hundred forty-seven million, seven hundred eighty-two thousand, two hundred forty".