54689803200 has 504 divisors, whose sum is σ = 202804507776. Its totient is φ = 13962240000.

The previous prime is 54689803139. The next prime is 54689803237. The reversal of 54689803200 is 230898645.

54689803200 is a `hidden beast` number, since 546 + 8 + 9 + 80 + 3 + 20 + 0 = 666.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 45085794 + ... + 45087006.

Almost surely, 2^54689803200 is an apocalyptic number.

54689803200 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 54689803200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101402253888).

54689803200 is an abundant number, since it is smaller than the sum of its proper divisors (148114704576).

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

54689803200 is a wasteful number, since it uses less digits than its factorization.

54689803200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1373 (or 1355 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 54689803200 in words is "fifty-four billion, six hundred eighty-nine million, eight hundred three thousand, two hundred".