11012802956628 has 288 divisors, whose sum is σ = 29108765048832. Its totient is φ = 3236574190080.

The previous prime is 11012802956627. The next prime is 11012802956641. The reversal of 11012802956628 is 82665920821011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11012802956621) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4182605200 + ... + 4182607832.

It is an arithmetic number, because the mean of its divisors is an integer number (101072100864).

Almost surely, 2^{11012802956628} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11012802956628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14554382524416).

11012802956628 is an abundant number, since it is smaller than the sum of its proper divisors (18095962092204).

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

11012802956628 is a wasteful number, since it uses less digits than its factorization.

11012802956628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3243 (or 3230 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 51.

The spelling of 11012802956628 in words is "eleven trillion, twelve billion, eight hundred two million, nine hundred fifty-six thousand, six hundred twenty-eight".