5394816000 has 704 divisors, whose sum is σ = 22889717760. Its totient is φ = 1227571200.

The previous prime is 5394815983. The next prime is 5394816001. The reversal of 5394816000 is 6184935.

5394816000 is a `hidden beast` number, since 5 + 3 + 9 + 48 + 1 + 600 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5394816001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24191889 + ... + 24192111.

Almost surely, 2^5394816000 is an apocalyptic number.

5394816000 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 5394816000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11444858880).

5394816000 is an abundant number, since it is smaller than the sum of its proper divisors (17494901760).

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

5394816000 is a wasteful number, since it uses less digits than its factorization.

5394816000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 5394816000 is about 73449.4111616969. The cubic root of 5394816000 is about 1753.8490517745.

The spelling of 5394816000 in words is "five billion, three hundred ninety-four million, eight hundred sixteen thousand".