5695394400 has 864 divisors, whose sum is σ = 23398502400. Its totient is φ = 1293926400.

The previous prime is 5695394399. The next prime is 5695394407. The reversal of 5695394400 is 44935965.

It is a super-3 number, since 3×5695394400³ (a number of 30 digits) contains 333 as substring.

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 (5695394407) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 72093561 + ... + 72093639.

It is an arithmetic number, because the mean of its divisors is an integer number (27081600).

Almost surely, 2^5695394400 is an apocalyptic number.

5695394400 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 5695394400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11699251200).

5695394400 is an abundant number, since it is smaller than the sum of its proper divisors (17703108000).

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

5695394400 is a wasteful number, since it uses less digits than its factorization.

5695394400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The square root of 5695394400 is about 75467.8368578297. The cubic root of 5695394400 is about 1785.8347436303.

The spelling of 5695394400 in words is "five billion, six hundred ninety-five million, three hundred ninety-four thousand, four hundred".