10970715520 has 256 divisors, whose sum is σ = 28500595200. Its totient is φ = 4025548800.

The previous prime is 10970715493. The next prime is 10970715521. The reversal of 10970715520 is 2551707901.

10970715520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 10970715520.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10970715521) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 83745855 + ... + 83745985.

It is an arithmetic number, because the mean of its divisors is an integer number (111330450).

Almost surely, 2^10970715520 is an apocalyptic number.

10970715520 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 10970715520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14250297600).

10970715520 is an abundant number, since it is smaller than the sum of its proper divisors (17529879680).

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

10970715520 is a wasteful number, since it uses less digits than its factorization.

10970715520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 22050, while the sum is 37.

The spelling of 10970715520 in words is "ten billion, nine hundred seventy million, seven hundred fifteen thousand, five hundred twenty".