54498225600 has 840 divisors, whose sum is σ = 246603223328. Its totient is φ = 11496038400.

The previous prime is 54498225599. The next prime is 54498225623. The reversal of 54498225600 is 652289445.

54498225600 is a `hidden beast` number, since 5 + 4 + 4 + 9 + 82 + 2 + 560 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (840).

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 119 ways as a sum of consecutive naturals, for example, 11791290 + ... + 11795910.

Almost surely, 2^54498225600 is an apocalyptic number.

54498225600 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 54498225600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123301611664).

54498225600 is an abundant number, since it is smaller than the sum of its proper divisors (192104997728).

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

54498225600 is a wasteful number, since it uses less digits than its factorization.

54498225600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4675 (or 4651 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 54498225600 in words is "fifty-four billion, four hundred ninety-eight million, two hundred twenty-five thousand, six hundred".