1011002208672 has 96 divisors (see below), whose sum is σ = 2700105408000. Its totient is φ = 331180911360.

The previous prime is 1011002208649. The next prime is 1011002208701. The reversal of 1011002208672 is 2768022001101.

1011002208672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 905079 + ... + 1685577.

It is an arithmetic number, because the mean of its divisors is an integer number (28126098000).

Almost surely, 2^{1011002208672} is an apocalyptic number.

1011002208672 is a gapful number since it is divisible by the number (12) 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 1011002208672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1350052704000).

1011002208672 is an abundant number, since it is smaller than the sum of its proper divisors (1689103199328).

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

1011002208672 is a wasteful number, since it uses less digits than its factorization.

1011002208672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 780746 (or 780738 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 30.

Adding to 1011002208672 its reverse (2768022001101), we get a palindrome (3779024209773).

The spelling of 1011002208672 in words is "one trillion, eleven billion, two million, two hundred eight thousand, six hundred seventy-two".