54289986307200 has 768 divisors, whose sum is σ = 229192445030400. Its totient is φ = 12293151805440.

The previous prime is 54289986307159. The next prime is 54289986307259. The reversal of 54289986307200 is 270368998245.

54289986307200 is a `hidden beast` number, since 5 + 4 + 289 + 98 + 63 + 0 + 7 + 200 = 666.

It is a super-2 number, since 2×54289986307200² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 64294137 + ... + 65133063.

It is an arithmetic number, because the mean of its divisors is an integer number (298427662800).

Almost surely, 2^{54289986307200} is an apocalyptic number.

54289986307200 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 54289986307200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114596222515200).

54289986307200 is an abundant number, since it is smaller than the sum of its proper divisors (174902458723200).

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

54289986307200 is a wasteful number, since it uses less digits than its factorization.

54289986307200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 839074 (or 839051 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 54289986307200 in words is "fifty-four trillion, two hundred eighty-nine billion, nine hundred eighty-six million, three hundred seven thousand, two hundred".