11521012041630 has 1024 divisors, whose sum is σ = 39542429122560. Its totient is φ = 2321901158400.

The previous prime is 11521012041607. The next prime is 11521012041647. The reversal of 11521012041630 is 3614021012511.

11521012041630 is a `hidden beast` number, since 1 + 1 + 5 + 2 + 1 + 0 + 1 + 20 + 4 + 1 + 630 = 666.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 11521012041594 and 11521012041603.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 26607417894 + ... + 26607418326.

It is an arithmetic number, because the mean of its divisors is an integer number (38615653440).

Almost surely, 2^{11521012041630} is an apocalyptic number.

11521012041630 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11521012041630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19771214561280).

11521012041630 is an abundant number, since it is smaller than the sum of its proper divisors (28021417080930).

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

11521012041630 is a wasteful number, since it uses less digits than its factorization.

11521012041630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 874 (or 868 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The spelling of 11521012041630 in words is "eleven trillion, five hundred twenty-one billion, twelve million, forty-one thousand, six hundred thirty".