10961635872 has 288 divisors, whose sum is σ = 33446286720. Its totient is φ = 3134771200.

The previous prime is 10961635843. The next prime is 10961635879. The reversal of 10961635872 is 27853616901.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (10961635879) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23777722 + ... + 23778182.

It is an arithmetic number, because the mean of its divisors is an integer number (116132940).

Almost surely, 2^10961635872 is an apocalyptic number.

10961635872 is a gapful number since it is divisible by the number (12) 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 10961635872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16723143360).

10961635872 is an abundant number, since it is smaller than the sum of its proper divisors (22484650848).

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

10961635872 is a wasteful number, since it uses less digits than its factorization.

10961635872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 608 (or 589 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 48.

The spelling of 10961635872 in words is "ten billion, nine hundred sixty-one million, six hundred thirty-five thousand, eight hundred seventy-two".