54428852275200 has 2304 divisors, whose sum is σ = 220348084320000. Its totient is φ = 13252035870720.

The previous prime is 54428852275123. The next prime is 54428852275201. The reversal of 54428852275200 is 257225882445.

54428852275200 is a `hidden beast` number, since 5 + 4 + 4 + 28 + 8 + 522 + 75 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (54428852275201) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 202337740666 + ... + 202337740934.

It is an arithmetic number, because the mean of its divisors is an integer number (95637189375).

Almost surely, 2^{54428852275200} is an apocalyptic number.

54428852275200 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 54428852275200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110174042160000).

54428852275200 is an abundant number, since it is smaller than the sum of its proper divisors (165919232044800).

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

54428852275200 is a wasteful number, since it uses less digits than its factorization.

54428852275200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 474 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 14336000, while the sum is 54.

The spelling of 54428852275200 in words is "fifty-four trillion, four hundred twenty-eight billion, eight hundred fifty-two million, two hundred seventy-five thousand, two hundred".