5375816409600 has 720 divisors, whose sum is σ = 23678277534912. Its totient is φ = 1134235975680.

The previous prime is 5375816409599. The next prime is 5375816409617. The reversal of 5375816409600 is 69046185735.

5375816409600 is a `hidden beast` number, since 53 + 7 + 581 + 6 + 4 + 0 + 9 + 6 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10226799 + ... + 10739601.

Almost surely, 2^{5375816409600} is an apocalyptic number.

5375816409600 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 5375816409600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11839138767456).

5375816409600 is an abundant number, since it is smaller than the sum of its proper divisors (18302461125312).

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

5375816409600 is a wasteful number, since it uses less digits than its factorization.

5375816409600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 512857 (or 512833 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 5375816409600 in words is "five trillion, three hundred seventy-five billion, eight hundred sixteen million, four hundred nine thousand, six hundred".