54729691200 has 420 divisors, whose sum is σ = 213014833812. Its totient is φ = 13735526400.

The previous prime is 54729691153. The next prime is 54729691243. The reversal of 54729691200 is 219692745.

54729691200 is a `hidden beast` number, since 5 + 472 + 96 + 91 + 2 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 3519811584 + 51209879616 = 59328^2 + 226296^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2190780 + ... + 2215620.

Almost surely, 2^54729691200 is an apocalyptic number.

54729691200 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 54729691200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106507416906).

54729691200 is an abundant number, since it is smaller than the sum of its proper divisors (158285142612).

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

54729691200 is a wasteful number, since it uses less digits than its factorization.

54729691200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24892 (or 24868 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 54729691200 in words is "fifty-four billion, seven hundred twenty-nine million, six hundred ninety-one thousand, two hundred".