10972868544 has 252 divisors, whose sum is σ = 34750327248. Its totient is φ = 3307898880.

The previous prime is 10972868507. The next prime is 10972868549. The reversal of 10972868544 is 44586827901.

It is a happy number.

10972868544 is a `hidden beast` number, since 1 + 0 + 97 + 2 + 8 + 6 + 8 + 544 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10972868549) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 21814597 + ... + 21815099.

It is an arithmetic number, because the mean of its divisors is an integer number (137898124).

Almost surely, 2^10972868544 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10972868544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17375163624).

10972868544 is an abundant number, since it is smaller than the sum of its proper divisors (23777458704).

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

10972868544 is a wasteful number, since it uses less digits than its factorization.

10972868544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 856 (or 832 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 10972868544 in words is "ten billion, nine hundred seventy-two million, eight hundred sixty-eight thousand, five hundred forty-four".