5387616000 has 432 divisors, whose sum is σ = 20891969280. Its totient is φ = 1325260800.

The previous prime is 5387615983. The next prime is 5387616023. The reversal of 5387616000 is 6167835.

5387616000 is a `hidden beast` number, since 5 + 38 + 7 + 616 + 0 + 0 + 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 an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 3743281 + ... + 3744719.

It is an arithmetic number, because the mean of its divisors is an integer number (48361040).

Almost surely, 2^5387616000 is an apocalyptic number.

5387616000 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 5387616000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10445984640).

5387616000 is an abundant number, since it is smaller than the sum of its proper divisors (15504353280).

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

5387616000 is a wasteful number, since it uses less digits than its factorization.

5387616000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1489 (or 1462 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 5387616000 is about 73400.3814703984. The cubic root of 5387616000 is about 1753.0684669160.

The spelling of 5387616000 in words is "five billion, three hundred eighty-seven million, six hundred sixteen thousand".