5725504380100 has 72 divisors (see below), whose sum is σ = 13204093399560. Its totient is φ = 2147470878720.

The previous prime is 5725504380077. The next prime is 5725504380103. The reversal of 5725504380100 is 10834055275.

It can be written as a sum of positive squares in 12 ways, for example, as 1670468361156 + 4055036018944 = 1292466^2 + 2013712^2 .

It is not an unprimeable number, because it can be changed into a prime (5725504380103) 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, 5802819 + ... + 6717418.

It is an arithmetic number, because the mean of its divisors is an integer number (183390186105).

Almost surely, 2^{5725504380100} is an apocalyptic number.

5725504380100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5725504380100 is an abundant number, since it is smaller than the sum of its proper divisors (7478589019460).

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

5725504380100 is a wasteful number, since it uses less digits than its factorization.

5725504380100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12520537 (or 12520530 counting only the distinct ones).

The product of its (nonzero) digits is 168000, while the sum is 40.

The spelling of 5725504380100 in words is "five trillion, seven hundred twenty-five billion, five hundred four million, three hundred eighty thousand, one hundred".