11578521464640 has 1344 divisors, whose sum is σ = 49573561040640. Its totient is φ = 2541191823360.

The previous prime is 11578521464639. The next prime is 11578521464651. The reversal of 11578521464640 is 4646412587511.

11578521464640 is a `hidden beast` number, since 1 + 1 + 5 + 78 + 52 + 1 + 464 + 64 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 326496510 + ... + 326531970.

It is an arithmetic number, because the mean of its divisors is an integer number (36885090060).

Almost surely, 2^{11578521464640} is an apocalyptic number.

11578521464640 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 11578521464640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24786780520320).

11578521464640 is an abundant number, since it is smaller than the sum of its proper divisors (37995039576000).

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

11578521464640 is a wasteful number, since it uses less digits than its factorization.

11578521464640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35542 (or 35520 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 54.

The spelling of 11578521464640 in words is "eleven trillion, five hundred seventy-eight billion, five hundred twenty-one million, four hundred sixty-four thousand, six hundred forty".