11496092106240 has 800 divisors, whose sum is σ = 47097153892800. Its totient is φ = 2625468235776.

The previous prime is 11496092106229. The next prime is 11496092106241. The reversal of 11496092106240 is 4260129069411.

11496092106240 is a `hidden beast` number, since 1 + 1 + 4 + 9 + 6 + 0 + 9 + 2 + 10 + 624 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11496092106241) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2248401924 + ... + 2248407036.

It is an arithmetic number, because the mean of its divisors is an integer number (58871442366).

Almost surely, 2^{11496092106240} is an apocalyptic number.

11496092106240 is a gapful number since it is divisible by the number (10) 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 11496092106240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23548576946400).

11496092106240 is an abundant number, since it is smaller than the sum of its proper divisors (35601061786560).

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

11496092106240 is an equidigital number, since it uses as much as digits as its factorization.

11496092106240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6704 (or 6679 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 11496092106240 in words is "eleven trillion, four hundred ninety-six billion, ninety-two million, one hundred six thousand, two hundred forty".