5716138809600 has 864 divisors, whose sum is σ = 21497124096000. Its totient is φ = 1485737164800.

The previous prime is 5716138809587. The next prime is 5716138809673. The reversal of 5716138809600 is 69088316175.

5716138809600 is a `hidden beast` number, since 5 + 7 + 16 + 13 + 8 + 8 + 0 + 9 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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

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 95 ways as a sum of consecutive naturals, for example, 1191108001 + ... + 1191112799.

Almost surely, 2^{5716138809600} is an apocalyptic number.

5716138809600 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 5716138809600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10748562048000).

5716138809600 is an abundant number, since it is smaller than the sum of its proper divisors (15780985286400).

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

5716138809600 is a wasteful number, since it uses less digits than its factorization.

5716138809600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5008 (or 4983 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 5716138809600 in words is "five trillion, seven hundred sixteen billion, one hundred thirty-eight million, eight hundred nine thousand, six hundred".