11953649021382 has 96 divisors (see below), whose sum is σ = 27507099316320. Its totient is φ = 3741005399040.

The previous prime is 11953649021351. The next prime is 11953649021399. The reversal of 11953649021382 is 28312094635911.

11953649021382 is a `hidden beast` number, since 1 + 1 + 9 + 53 + 6 + 490 + 21 + 3 + 82 = 666.

11953649021382 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 an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 670151368 + ... + 670169204.

It is an arithmetic number, because the mean of its divisors is an integer number (286532284545).

Almost surely, 2^{11953649021382} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11953649021382, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13753549658160).

11953649021382 is an abundant number, since it is smaller than the sum of its proper divisors (15553450294938).

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

11953649021382 is a wasteful number, since it uses less digits than its factorization.

11953649021382 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35318 (or 35315 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 11953649021382 in words is "eleven trillion, nine hundred fifty-three billion, six hundred forty-nine million, twenty-one thousand, three hundred eighty-two".