11811582892032 has 384 divisors, whose sum is σ = 39304804331520. Its totient is φ = 3064449761280.

The previous prime is 11811582892009. The next prime is 11811582892061. The reversal of 11811582892032 is 23029828511811.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 429077053 + ... + 429104579.

It is an arithmetic number, because the mean of its divisors is an integer number (102356261280).

Almost surely, 2^{11811582892032} is an apocalyptic number.

11811582892032 is a gapful number since it is divisible by the number (12) 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 11811582892032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19652402165760).

11811582892032 is an abundant number, since it is smaller than the sum of its proper divisors (27493221439488).

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

11811582892032 is a wasteful number, since it uses less digits than its factorization.

11811582892032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28477 (or 28457 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 51.

The spelling of 11811582892032 in words is "eleven trillion, eight hundred eleven billion, five hundred eighty-two million, eight hundred ninety-two thousand, thirty-two".