10961072640 has 960 divisors, whose sum is σ = 47238048000. Its totient is φ = 2341011456.

The previous prime is 10961072627. The next prime is 10961072641. The reversal of 10961072640 is 4627016901.

10961072640 is a `hidden beast` number, since 1 + 0 + 9 + 6 + 1 + 0 + 7 + 2 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×10961072640² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 10961072595 and 10961072604.

It is not an unprimeable number, because it can be changed into a prime (10961072641) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 150151644 + ... + 150151716.

It is an arithmetic number, because the mean of its divisors is an integer number (49206300).

Almost surely, 2^10961072640 is an apocalyptic number.

10961072640 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 10961072640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23619024000).

10961072640 is an abundant number, since it is smaller than the sum of its proper divisors (36276975360).

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

10961072640 is an equidigital number, since it uses as much as digits as its factorization.

10961072640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 10961072640 in words is "ten billion, nine hundred sixty-one million, seventy-two thousand, six hundred forty".