10611961360 has 360 divisors, whose sum is σ = 33993871128. Its totient is φ = 3051417600.

The previous prime is 10611961303. The next prime is 10611961397. The reversal of 10611961360 is 6316911601.

It can be written as a sum of positive squares in 4 ways, for example, as 653518096 + 9958443264 = 25564^2 + 99792^2 .

It is a super-2 number, since 2×10611961360² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6165300 + ... + 6167020.

Almost surely, 2^10611961360 is an apocalyptic number.

10611961360 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 10611961360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16996935564).

10611961360 is an abundant number, since it is smaller than the sum of its proper divisors (23381909768).

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

10611961360 is a wasteful number, since it uses less digits than its factorization.

10611961360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1783 (or 1759 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 34.

The spelling of 10611961360 in words is "ten billion, six hundred eleven million, nine hundred sixty-one thousand, three hundred sixty".