11772972354432 has 128 divisors (see below), whose sum is σ = 31331576574720. Its totient is φ = 3916848844800.

The previous prime is 11772972354431. The next prime is 11772972354433. The reversal of 11772972354432 is 23445327927711.

11772972354432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11772972354431) and next prime (11772972354433).

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11772972354431) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 535051143 + ... + 535073145.

It is an arithmetic number, because the mean of its divisors is an integer number (244777941990).

Almost surely, 2^{11772972354432} is an apocalyptic number.

11772972354432 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 11772972354432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15665788287360).

11772972354432 is an abundant number, since it is smaller than the sum of its proper divisors (19558604220288).

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

11772972354432 is a wasteful number, since it uses less digits than its factorization.

11772972354432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24612 (or 24600 counting only the distinct ones).

The product of its digits is 17781120, while the sum is 57.

The spelling of 11772972354432 in words is "eleven trillion, seven hundred seventy-two billion, nine hundred seventy-two million, three hundred fifty-four thousand, four hundred thirty-two".