10956606400 has 168 divisors, whose sum is σ = 27988101504. Its totient is φ = 4218547200.

The previous prime is 10956606371. The next prime is 10956606421. The reversal of 10956606400 is 460665901.

It is a self number, because there is not a number n which added to its sum of digits gives 10956606400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4883679 + ... + 4885921.

Almost surely, 2^10956606400 is an apocalyptic number.

10956606400 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 10956606400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13994050752).

10956606400 is an abundant number, since it is smaller than the sum of its proper divisors (17031495104).

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

10956606400 is a wasteful number, since it uses less digits than its factorization.

10956606400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2379 (or 2364 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 37.

The spelling of 10956606400 in words is "ten billion, nine hundred fifty-six million, six hundred six thousand, four hundred".