54451353600 has 1152 divisors, whose sum is σ = 242759462400. Its totient is φ = 11678515200.

The previous prime is 54451353487. The next prime is 54451353631. The reversal of 54451353600 is 635315445.

54451353600 is a `hidden beast` number, since 5 + 4 + 45 + 1 + 3 + 5 + 3 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 164505435 + ... + 164505765.

It is an arithmetic number, because the mean of its divisors is an integer number (210728700).

Almost surely, 2^54451353600 is an apocalyptic number.

54451353600 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 54451353600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121379731200).

54451353600 is an abundant number, since it is smaller than the sum of its proper divisors (188308108800).

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

54451353600 is a wasteful number, since it uses less digits than its factorization.

54451353600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

The spelling of 54451353600 in words is "fifty-four billion, four hundred fifty-one million, three hundred fifty-three thousand, six hundred".