5694145516800 has 1512 divisors, whose sum is σ = 22906703799000. Its totient is φ = 1392424058880.

The previous prime is 5694145516793. The next prime is 5694145516903. The reversal of 5694145516800 is 86155414965.

It is a happy number.

5694145516800 is a `hidden beast` number, since 5 + 6 + 9 + 4 + 1 + 4 + 551 + 6 + 80 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 3332932199424 + 2361213317376 = 1825632^2 + 1536624^2 .

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

It is a congruent number.

It is an unprimeable number.

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 167 ways as a sum of consecutive naturals, for example, 16315603026 + ... + 16315603374.

It is an arithmetic number, because the mean of its divisors is an integer number (15149936375).

Almost surely, 2^{5694145516800} is an apocalyptic number.

5694145516800 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 5694145516800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11453351899500).

5694145516800 is an abundant number, since it is smaller than the sum of its proper divisors (17212558282200).

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

5694145516800 is a wasteful number, since it uses less digits than its factorization.

5694145516800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 675 (or 641 counting only the distinct ones).

The product of its (nonzero) digits is 5184000, while the sum is 54.

The spelling of 5694145516800 in words is "five trillion, six hundred ninety-four billion, one hundred forty-five million, five hundred sixteen thousand, eight hundred".