11007037707372 has 240 divisors, whose sum is σ = 34859012525568. Its totient is φ = 2956529548800.

The previous prime is 11007037707329. The next prime is 11007037707377. The reversal of 11007037707372 is 27370773070011.

11007037707372 is a `hidden beast` number, since 110 + 0 + 70 + 37 + 70 + 7 + 372 = 666.

It is not an unprimeable number, because it can be changed into a prime (11007037707377) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 34038247 + ... + 34360097.

Almost surely, 2^{11007037707372} is an apocalyptic number.

11007037707372 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 11007037707372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17429506262784).

11007037707372 is an abundant number, since it is smaller than the sum of its proper divisors (23851974818196).

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

11007037707372 is a wasteful number, since it uses less digits than its factorization.

11007037707372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322778 (or 322767 counting only the distinct ones).

The product of its (nonzero) digits is 302526, while the sum is 45.

The spelling of 11007037707372 in words is "eleven trillion, seven billion, thirty-seven million, seven hundred seven thousand, three hundred seventy-two".