54672998400 has 270 divisors, whose sum is σ = 195858058032. Its totient is φ = 14578483200.

The previous prime is 54672998363. The next prime is 54672998407. The reversal of 54672998400 is 489927645.

54672998400 is a `hidden beast` number, since 546 + 7 + 2 + 9 + 98 + 4 + 0 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54672998407) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 3678985 + ... + 3693815.

Almost surely, 2^54672998400 is an apocalyptic number.

54672998400 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 54672998400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97929029016).

54672998400 is an abundant number, since it is smaller than the sum of its proper divisors (141185059632).

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

54672998400 is a wasteful number, since it uses less digits than its factorization.

54672998400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14875 (or 14841 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 54672998400 in words is "fifty-four billion, six hundred seventy-two million, nine hundred ninety-eight thousand, four hundred".