5570161200400 has 120 divisors (see below), whose sum is σ = 14220665388360. Its totient is φ = 2089430753280.

The previous prime is 5570161200361. The next prime is 5570161200407. The reversal of 5570161200400 is 40021610755.

It can be written as a sum of positive squares in 12 ways, for example, as 3051477935104 + 2518683265296 = 1746848^2 + 1587036^2 .

It is not an unprimeable number, because it can be changed into a prime (5570161200407) 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, 405006 + ... + 3362194.

It is an arithmetic number, because the mean of its divisors is an integer number (118505544903).

Almost surely, 2^{5570161200400} is an apocalyptic number.

5570161200400 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 5570161200400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7110332694180).

5570161200400 is an abundant number, since it is smaller than the sum of its proper divisors (8650504187960).

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

5570161200400 is a wasteful number, since it uses less digits than its factorization.

5570161200400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2957501 (or 2957490 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 31.

The spelling of 5570161200400 in words is "five trillion, five hundred seventy billion, one hundred sixty-one million, two hundred thousand, four hundred".