54270406800 has 360 divisors, whose sum is σ = 201511090560. Its totient is φ = 13484620800.

The previous prime is 54270406789. The next prime is 54270406837. The reversal of 54270406800 is 860407245.

54270406800 is a `hidden beast` number, since 542 + 70 + 40 + 6 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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

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 71 ways as a sum of consecutive naturals, for example, 4165897 + ... + 4178903.

Almost surely, 2^54270406800 is an apocalyptic number.

54270406800 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 54270406800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100755545280).

54270406800 is an abundant number, since it is smaller than the sum of its proper divisors (147240683760).

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

54270406800 is a wasteful number, since it uses less digits than its factorization.

54270406800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13111 (or 13097 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 54270406800 in words is "fifty-four billion, two hundred seventy million, four hundred six thousand, eight hundred".