11701247040 has 1008 divisors, whose sum is σ = 50465443392. Its totient is φ = 2570932224.

The previous prime is 11701247027. The next prime is 11701247057. The reversal of 11701247040 is 4074210711.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-2 number, since 2×11701247040² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 11701246995 and 11701247013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 140978839 + ... + 140978921.

It is an arithmetic number, because the mean of its divisors is an integer number (50064924).

Almost surely, 2^11701247040 is an apocalyptic number.

11701247040 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 11701247040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25232721696).

11701247040 is an abundant number, since it is smaller than the sum of its proper divisors (38764196352).

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

11701247040 is an equidigital number, since it uses as much as digits as its factorization.

11701247040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 27.

Adding to 11701247040 its reverse (4074210711), we get a palindrome (15775457751).

The spelling of 11701247040 in words is "eleven billion, seven hundred one million, two hundred forty-seven thousand, forty".