5725105601600 has 168 divisors, whose sum is σ = 17563434731328. Its totient is φ = 1784448460800.

The previous prime is 5725105601591. The next prime is 5725105601603. The reversal of 5725105601600 is 61065015275.

It is not an unprimeable number, because it can be changed into a prime (5725105601603) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23111807 + ... + 23358206.

Almost surely, 2^{5725105601600} is an apocalyptic number.

5725105601600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5725105601600 is an abundant number, since it is smaller than the sum of its proper divisors (11838329129728).

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

5725105601600 is a wasteful number, since it uses less digits than its factorization.

5725105601600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46470053 (or 46470038 counting only the distinct ones).

The product of its (nonzero) digits is 63000, while the sum is 38.

The spelling of 5725105601600 in words is "five trillion, seven hundred twenty-five billion, one hundred five million, six hundred one thousand, six hundred".