10972516284 has 72 divisors (see below), whose sum is σ = 28813843968. Its totient is φ = 3651084720.

The previous prime is 10972516279. The next prime is 10972516319. The reversal of 10972516284 is 48261527901.

10972516284 is a `hidden beast` number, since 10 + 9 + 7 + 2 + 5 + 1 + 628 + 4 = 666.

10972516284 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10972516284² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 560949 + ... + 580179.

Almost surely, 2^10972516284 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 10972516284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14406921984).

10972516284 is an abundant number, since it is smaller than the sum of its proper divisors (17841327684).

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

10972516284 is a wasteful number, since it uses less digits than its factorization.

10972516284 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19837 (or 19823 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 10972516284 in words is "ten billion, nine hundred seventy-two million, five hundred sixteen thousand, two hundred eighty-four".