11296516740 has 144 divisors (see below), whose sum is σ = 33443323200. Its totient is φ = 2845676288.

The previous prime is 11296516727. The next prime is 11296516753. The reversal of 11296516740 is 4761569211.

It is an interprime number because it is at equal distance from previous prime (11296516727) and next prime (11296516753).

It is a super-2 number, since 2×11296516740² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11296516692 and 11296516701.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3842191 + ... + 3845129.

It is an arithmetic number, because the mean of its divisors is an integer number (232245300).

Almost surely, 2^11296516740 is an apocalyptic number.

11296516740 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 11296516740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16721661600).

11296516740 is an abundant number, since it is smaller than the sum of its proper divisors (22146806460).

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

11296516740 is a wasteful number, since it uses less digits than its factorization.

11296516740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3074 (or 3025 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 42.

The spelling of 11296516740 in words is "eleven billion, two hundred ninety-six million, five hundred sixteen thousand, seven hundred forty".