54406306800 has 300 divisors, whose sum is σ = 203752219440. Its totient is φ = 13877360640.

The previous prime is 54406306783. The next prime is 54406306837. The reversal of 54406306800 is 860360445.

54406306800 is a `hidden beast` number, since 544 + 0 + 6 + 30 + 6 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (300).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 708696 + ... + 781704.

Almost surely, 2^54406306800 is an apocalyptic number.

54406306800 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 54406306800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101876109720).

54406306800 is an abundant number, since it is smaller than the sum of its proper divisors (149345912640).

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

54406306800 is a wasteful number, since it uses less digits than its factorization.

54406306800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73062 (or 73042 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 54406306800 in words is "fifty-four billion, four hundred six million, three hundred six thousand, eight hundred".