11009910596472 has 256 divisors, whose sum is σ = 33574712371200. Its totient is φ = 3332222530560.

The previous prime is 11009910596471. The next prime is 11009910596521. The reversal of 11009910596472 is 27469501990011.

It is a happy number.

11009910596472 is a `hidden beast` number, since 1 + 1 + 0 + 0 + 9 + 9 + 1 + 0 + 596 + 47 + 2 = 666.

11009910596472 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11009910596471) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6806013 + ... + 8266899.

It is an arithmetic number, because the mean of its divisors is an integer number (131151220200).

Almost surely, 2^{11009910596472} is an apocalyptic number.

11009910596472 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 11009910596472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16787356185600).

11009910596472 is an abundant number, since it is smaller than the sum of its proper divisors (22564801774728).

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

11009910596472 is a wasteful number, since it uses less digits than its factorization.

11009910596472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1461003 (or 1460993 counting only the distinct ones).

The product of its (nonzero) digits is 1224720, while the sum is 54.

The spelling of 11009910596472 in words is "eleven trillion, nine billion, nine hundred ten million, five hundred ninety-six thousand, four hundred seventy-two".