11352647040 has 256 divisors, whose sum is σ = 41858449920. Its totient is φ = 2563375104.

The previous prime is 11352647029. The next prime is 11352647057. The reversal of 11352647040 is 4074625311.

It is a junction number, because it is equal to n+sod(n) for n = 11352646992 and 11352647010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1110432 + ... + 1120608.

It is an arithmetic number, because the mean of its divisors is an integer number (163509570).

Almost surely, 2^11352647040 is an apocalyptic number.

11352647040 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 11352647040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20929224960).

11352647040 is an abundant number, since it is smaller than the sum of its proper divisors (30505802880).

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

11352647040 is a wasteful number, since it uses less digits than its factorization.

11352647040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10289 (or 10277 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The spelling of 11352647040 in words is "eleven billion, three hundred fifty-two million, six hundred forty-seven thousand, forty".