10961685504 has 704 divisors, whose sum is σ = 42761011200. Its totient is φ = 2687385600.

The previous prime is 10961685479. The next prime is 10961685541. The reversal of 10961685504 is 40558616901.

10961685504 is a `hidden beast` number, since 1 + 0 + 9 + 61 + 6 + 85 + 504 = 666.

It is a tau number, because it is divible by the number of its divisors (704).

It is a self number, because there is not a number n which added to its sum of digits gives 10961685504.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 40448889 + ... + 40449159.

Almost surely, 2^10961685504 is an apocalyptic number.

10961685504 is a gapful number since it is divisible by the number (14) 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 10961685504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21380505600).

10961685504 is an abundant number, since it is smaller than the sum of its proper divisors (31799325696).

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

10961685504 is a wasteful number, since it uses less digits than its factorization.

10961685504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The spelling of 10961685504 in words is "ten billion, nine hundred sixty-one million, six hundred eighty-five thousand, five hundred four".