11026452672 has 224 divisors, whose sum is σ = 33380720640. Its totient is φ = 3567421440.

The previous prime is 11026452617. The next prime is 11026452691. The reversal of 11026452672 is 27625462011.

It is a happy number.

11026452672 is a `hidden beast` number, since 1 + 1 + 0 + 2 + 64 + 526 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 11126097 + ... + 11127087.

Almost surely, 2^11026452672 is an apocalyptic number.

11026452672 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 11026452672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16690360320).

11026452672 is an abundant number, since it is smaller than the sum of its proper divisors (22354267968).

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

11026452672 is a wasteful number, since it uses less digits than its factorization.

11026452672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1196 (or 1180 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 11026452672 in words is "eleven billion, twenty-six million, four hundred fifty-two thousand, six hundred seventy-two".