5701601105000 has 80 divisors (see below), whose sum is σ = 13391518420500. Its totient is φ = 2275063488000.

The previous prime is 5701601104963. The next prime is 5701601105051. The reversal of 5701601105000 is 5011061075.

It can be written as a sum of positive squares in 10 ways, for example, as 384675329284 + 5316925775716 = 620222^2 + 2305846^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 650966 + ... + 3439034.

Almost surely, 2^{5701601105000} is an apocalyptic number.

5701601105000 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 5701601105000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6695759210250).

5701601105000 is an abundant number, since it is smaller than the sum of its proper divisors (7689917315500).

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

5701601105000 is a wasteful number, since it uses less digits than its factorization.

5701601105000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2788504 (or 2788485 counting only the distinct ones).

The product of its (nonzero) digits is 1050, while the sum is 26.

Adding to 5701601105000 its reverse (5011061075), we get a palindrome (5706612166075).

The spelling of 5701601105000 in words is "five trillion, seven hundred one billion, six hundred one million, one hundred five thousand".