54718295040 has 352 divisors, whose sum is σ = 201179160000. Its totient is φ = 14087356416.

The previous prime is 54718295003. The next prime is 54718295041. The reversal of 54718295040 is 4059281745.

54718295040 is a `hidden beast` number, since 54 + 71 + 8 + 29 + 504 + 0 = 666.

54718295040 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 not an unprimeable number, because it can be changed into a prime (54718295041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4002136 + ... + 4015784.

Almost surely, 2^54718295040 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 54718295040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100589580000).

54718295040 is an abundant number, since it is smaller than the sum of its proper divisors (146460864960).

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

54718295040 is a wasteful number, since it uses less digits than its factorization.

54718295040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13712 (or 13688 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 54718295040 in words is "fifty-four billion, seven hundred eighteen million, two hundred ninety-five thousand, forty".