1010560001600 has 84 divisors (see below), whose sum is σ = 2497760799744. Its totient is φ = 402411194880.

The previous prime is 1010560001567. The next prime is 1010560001617. The reversal of 1010560001600 is 61000650101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1059344 + ... + 1772943.

It is an arithmetic number, because the mean of its divisors is an integer number (29735247616).

Almost surely, 2^{1010560001600} is an apocalyptic number.

1010560001600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1010560001600 is an abundant number, since it is smaller than the sum of its proper divisors (1487200798144).

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

1010560001600 is a wasteful number, since it uses less digits than its factorization.

1010560001600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2832532 (or 2832517 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 20.

Adding to 1010560001600 its reverse (61000650101), we get a palindrome (1071560651701).

The spelling of 1010560001600 in words is "one trillion, ten billion, five hundred sixty million, one thousand, six hundred".