10970657280 has 640 divisors, whose sum is σ = 43557212160. Its totient is φ = 2594488320.

The previous prime is 10970657273. The next prime is 10970657281. The reversal of 10970657280 is 8275607901.

10970657280 is a `hidden beast` number, since 1 + 0 + 9 + 70 + 6 + 572 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (10970657281) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 35734887 + ... + 35735193.

It is an arithmetic number, because the mean of its divisors is an integer number (68058144).

Almost surely, 2^10970657280 is an apocalyptic number.

10970657280 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 10970657280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21778606080).

10970657280 is an abundant number, since it is smaller than the sum of its proper divisors (32586554880).

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

10970657280 is a wasteful number, since it uses less digits than its factorization.

10970657280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397 (or 375 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The spelling of 10970657280 in words is "ten billion, nine hundred seventy million, six hundred fifty-seven thousand, two hundred eighty".