54316029600 has 1728 divisors, whose sum is σ = 250427721600. Its totient is φ = 11287019520.

The previous prime is 54316029577. The next prime is 54316029601. The reversal of 54316029600 is 692061345.

It is a happy number.

54316029600 is a `hidden beast` number, since 5 + 43 + 1 + 6 + 0 + 2 + 9 + 600 = 666.

54316029600 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 (36).

It is not an unprimeable number, because it can be changed into a prime (54316029601) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 744055164 + ... + 744055236.

It is an arithmetic number, because the mean of its divisors is an integer number (144923450).

Almost surely, 2^54316029600 is an apocalyptic number.

54316029600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54316029600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125213860800).

54316029600 is an abundant number, since it is smaller than the sum of its proper divisors (196111692000).

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

54316029600 is a wasteful number, since it uses less digits than its factorization.

54316029600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 54316029600 in words is "fifty-four billion, three hundred sixteen million, twenty-nine thousand, six hundred".