5974427289600 has 2880 divisors, whose sum is σ = 28188322081920. Its totient is φ = 1214565580800.

The previous prime is 5974427289569. The next prime is 5974427289641. The reversal of 5974427289600 is 69827244795.

5974427289600 is a `hidden beast` number, since 5 + 9 + 74 + 427 + 2 + 89 + 60 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 16924723024 + ... + 16924723376.

It is an arithmetic number, because the mean of its divisors is an integer number (9787611834).

Almost surely, 2^{5974427289600} is an apocalyptic number.

5974427289600 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 5974427289600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14094161040960).

5974427289600 is an abundant number, since it is smaller than the sum of its proper divisors (22213894792320).

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

5974427289600 is a wasteful number, since it uses less digits than its factorization.

5974427289600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468 (or 434 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 63.

The spelling of 5974427289600 in words is "five trillion, nine hundred seventy-four billion, four hundred twenty-seven million, two hundred eighty-nine thousand, six hundred".