56105601001000 has 32 divisors (see below), whose sum is σ = 131287106344680. Its totient is φ = 22442240400000.

The previous prime is 56105601000979. The next prime is 56105601001019. The reversal of 56105601001000 is 10010650165.

It can be written as a sum of positive squares in 4 ways, for example, as 27893122583236 + 28212478417764 = 5281394^2 + 5311542^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28052799501 + ... + 28052801500.

Almost surely, 2^{56105601001000} is an apocalyptic number.

56105601001000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

56105601001000 is an abundant number, since it is smaller than the sum of its proper divisors (75181505343680).

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

56105601001000 is a wasteful number, since it uses less digits than its factorization.

56105601001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56105601022 (or 56105601008 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 25.

Adding to 56105601001000 its reverse (10010650165), we get a palindrome (56115611651165).

The spelling of 56105601001000 in words is "fifty-six trillion, one hundred five billion, six hundred one million, one thousand".