10970461520 has 80 divisors (see below), whose sum is σ = 26690322960. Its totient is φ = 4188966912.

The previous prime is 10970461519. The next prime is 10970461529. The reversal of 10970461520 is 2516407901.

It can be written as a sum of positive squares in 8 ways, for example, as 26790976 + 10943670544 = 5176^2 + 104612^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10970461529) 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, 121916 + ... + 191844.

It is an arithmetic number, because the mean of its divisors is an integer number (333629037).

Almost surely, 2^10970461520 is an apocalyptic number.

10970461520 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 10970461520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13345161480).

10970461520 is an abundant number, since it is smaller than the sum of its proper divisors (15719861440).

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

10970461520 is a wasteful number, since it uses less digits than its factorization.

10970461520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70032 (or 70026 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 35.

The spelling of 10970461520 in words is "ten billion, nine hundred seventy million, four hundred sixty-one thousand, five hundred twenty".