11571290640000 has 3840 divisors, whose sum is σ = 55080320655360. Its totient is φ = 2351462400000.

The previous prime is 11571290639957. The next prime is 11571290640011. The reversal of 11571290640000 is 4609217511.

11571290640000 is a `hidden beast` number, since 1 + 1 + 5 + 7 + 1 + 2 + 9 + 0 + 640 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 479 ways as a sum of consecutive naturals, for example, 54840239895 + ... + 54840240105.

It is an arithmetic number, because the mean of its divisors is an integer number (14343833504).

Almost surely, 2^{11571290640000} is an apocalyptic number.

11571290640000 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 11571290640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27540160327680).

11571290640000 is an abundant number, since it is smaller than the sum of its proper divisors (43509030015360).

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

11571290640000 is an equidigital number, since it uses as much as digits as its factorization.

11571290640000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

Adding to 11571290640000 its reverse (4609217511), we get a palindrome (11575899857511).

The spelling of 11571290640000 in words is "eleven trillion, five hundred seventy-one billion, two hundred ninety million, six hundred forty thousand".