10972374541920 has 288 divisors, whose sum is σ = 40850494068384. Its totient is φ = 2659752345600.

The previous prime is 10972374541913. The next prime is 10972374541927. The reversal of 10972374541920 is 2914547327901.

10972374541920 is a `hidden beast` number, since 1 + 0 + 9 + 7 + 2 + 3 + 7 + 4 + 541 + 92 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (10972374541913) and next prime (10972374541927).

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10972374541927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 283849314 + ... + 283887966.

It is an arithmetic number, because the mean of its divisors is an integer number (141841993293).

Almost surely, 2^{10972374541920} is an apocalyptic number.

10972374541920 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 10972374541920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20425247034192).

10972374541920 is an abundant number, since it is smaller than the sum of its proper divisors (29878119526464).

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

10972374541920 is a wasteful number, since it uses less digits than its factorization.

10972374541920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56606 (or 56595 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 10972374541920 in words is "ten trillion, nine hundred seventy-two billion, three hundred seventy-four million, five hundred forty-one thousand, nine hundred twenty".