1002011105680 has 160 divisors (see below), whose sum is σ = 2550344517504. Its totient is φ = 363898503168.

The previous prime is 1002011105663. The next prime is 1002011105717. The reversal of 1002011105680 is 865011102001.

It is a happy number.

It is a super-2 number, since 2×1002011105680² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19569072 + ... + 19620208.

Almost surely, 2^{1002011105680} is an apocalyptic number.

1002011105680 is a gapful number since it is divisible by the number (10) 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 1002011105680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1275172258752).

1002011105680 is an abundant number, since it is smaller than the sum of its proper divisors (1548333411824).

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

1002011105680 is a wasteful number, since it uses less digits than its factorization.

1002011105680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51473 (or 51467 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 25.

Adding to 1002011105680 its reverse (865011102001), we get a palindrome (1867022207681).

The spelling of 1002011105680 in words is "one trillion, two billion, eleven million, one hundred five thousand, six hundred eighty".