11607632710520 has 192 divisors, whose sum is σ = 33404106792960. Its totient is φ = 3589474694400.

The previous prime is 11607632710507. The next prime is 11607632710523. The reversal of 11607632710520 is 2501723670611.

11607632710520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11607632710523) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 618485 + ... + 4857755.

It is an arithmetic number, because the mean of its divisors is an integer number (173979722880).

Almost surely, 2^{11607632710520} is an apocalyptic number.

11607632710520 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 11607632710520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16702053396480).

11607632710520 is an abundant number, since it is smaller than the sum of its proper divisors (21796474082440).

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

11607632710520 is a wasteful number, since it uses less digits than its factorization.

11607632710520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4239434 (or 4239423 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 41.

The spelling of 11607632710520 in words is "eleven trillion, six hundred seven billion, six hundred thirty-two million, seven hundred ten thousand, five hundred twenty".