54306201600 has 1344 divisors, whose sum is σ = 241828807680. Its totient is φ = 11678515200.

The previous prime is 54306201581. The next prime is 54306201617. The reversal of 54306201600 is 610260345.

54306201600 is a `hidden beast` number, since 5 + 4 + 30 + 6 + 20 + 1 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 890265570 + ... + 890265630.

Almost surely, 2^54306201600 is an apocalyptic number.

54306201600 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 54306201600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120914403840).

54306201600 is an abundant number, since it is smaller than the sum of its proper divisors (187522606080).

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

54306201600 is a wasteful number, since it uses less digits than its factorization.

54306201600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 54306201600 its reverse (610260345), we get a palindrome (54916461945).

The spelling of 54306201600 in words is "fifty-four billion, three hundred six million, two hundred one thousand, six hundred".