54680371200 has 1080 divisors, whose sum is σ = 242551295168. Its totient is φ = 11466178560.

The previous prime is 54680371169. The next prime is 54680371219. The reversal of 54680371200 is 217308645.

54680371200 is a `hidden beast` number, since 5 + 4 + 6 + 80 + 371 + 200 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 335462319 + ... + 335462481.

Almost surely, 2^54680371200 is an apocalyptic number.

54680371200 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 54680371200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121275647584).

54680371200 is an abundant number, since it is smaller than the sum of its proper divisors (187870923968).

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

54680371200 is a wasteful number, since it uses less digits than its factorization.

54680371200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

Adding to 54680371200 its reverse (217308645), we get a palindrome (54897679845).

The spelling of 54680371200 in words is "fifty-four billion, six hundred eighty million, three hundred seventy-one thousand, two hundred".