11655047040 has 512 divisors, whose sum is σ = 46867645440. Its totient is φ = 2397634560.

The previous prime is 11655047023. The next prime is 11655047059. The reversal of 11655047040 is 4074055611.

11655047040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×11655047040² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11655046992 and 11655047010.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 7162707 + ... + 7164333.

It is an arithmetic number, because the mean of its divisors is an integer number (91538370).

Almost surely, 2^11655047040 is an apocalyptic number.

11655047040 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 11655047040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23433822720).

11655047040 is an abundant number, since it is smaller than the sum of its proper divisors (35212598400).

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

11655047040 is a wasteful number, since it uses less digits than its factorization.

11655047040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1710 (or 1698 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 33.

The spelling of 11655047040 in words is "eleven billion, six hundred fifty-five million, forty-seven thousand, forty".