10996171200 has 1680 divisors, whose sum is σ = 52683485184. Its totient is φ = 2189721600.

The previous prime is 10996171171. The next prime is 10996171211. The reversal of 10996171200 is 217169901.

10996171200 is a `hidden beast` number, since 10 + 9 + 9 + 617 + 1 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 354715185 + ... + 354715215.

Almost surely, 2^10996171200 is an apocalyptic number.

10996171200 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 10996171200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26341742592).

10996171200 is an abundant number, since it is smaller than the sum of its proper divisors (41687313984).

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

10996171200 is a wasteful number, since it uses less digits than its factorization.

10996171200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 36.

The spelling of 10996171200 in words is "ten billion, nine hundred ninety-six million, one hundred seventy-one thousand, two hundred".