54784270800 has 720 divisors, whose sum is σ = 223223724672. Its totient is φ = 12184473600.

The previous prime is 54784270781. The next prime is 54784270829. The reversal of 54784270800 is 807248745.

54784270800 is a `hidden beast` number, since 547 + 8 + 4 + 27 + 0 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 241340287 + ... + 241340513.

Almost surely, 2^54784270800 is an apocalyptic number.

54784270800 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 54784270800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111611862336).

54784270800 is an abundant number, since it is smaller than the sum of its proper divisors (168439453872).

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

54784270800 is a wasteful number, since it uses less digits than its factorization.

54784270800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 476 (or 462 counting only the distinct ones).

The product of its (nonzero) digits is 501760, while the sum is 45.

The spelling of 54784270800 in words is "fifty-four billion, seven hundred eighty-four million, two hundred seventy thousand, eight hundred".