10009600100960 has 24 divisors (see below), whose sum is σ = 23647680238896. Its totient is φ = 4003840040320.

The previous prime is 10009600100953. The next prime is 10009600101047. The reversal of 10009600100960 is 6900100690001.

It is a happy number.

It is a super-2 number, since 2×10009600100960² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 31280000156 + ... + 31280000475.

It is an arithmetic number, because the mean of its divisors is an integer number (985320009954).

Almost surely, 2^{10009600100960} is an apocalyptic number.

10009600100960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10009600100960 is an abundant number, since it is smaller than the sum of its proper divisors (13638080137936).

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

10009600100960 is an equidigital number, since it uses as much as digits as its factorization.

10009600100960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62560000646 (or 62560000638 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 32.

Adding to 10009600100960 its reverse (6900100690001), we get a palindrome (16909700790961).

The spelling of 10009600100960 in words is "ten trillion, nine billion, six hundred million, one hundred thousand, nine hundred sixty".