54828547200000 has 792 divisors, whose sum is σ = 226152414319104. Its totient is φ = 12532193280000.

The previous prime is 54828547199977. The next prime is 54828547200001. The reversal of 54828547200000 is 274582845.

54828547200000 is a `hidden beast` number, since 5 + 4 + 82 + 8 + 547 + 20 + 0 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54828547200001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 201464017 + ... + 201735983.

Almost surely, 2^{54828547200000} is an apocalyptic number.

54828547200000 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 54828547200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113076207159552).

54828547200000 is an abundant number, since it is smaller than the sum of its proper divisors (171323867119104).

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

54828547200000 is an equidigital number, since it uses as much as digits as its factorization.

54828547200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272025 (or 271984 counting only the distinct ones).

The product of its (nonzero) digits is 716800, while the sum is 45.

The spelling of 54828547200000 in words is "fifty-four trillion, eight hundred twenty-eight billion, five hundred forty-seven million, two hundred thousand".