10997635200 has 192 divisors, whose sum is σ = 37473494400. Its totient is φ = 2831503360.

The previous prime is 10997635111. The next prime is 10997635211. The reversal of 10997635200 is 253679901.

It is a tau number, because it is divible by the number of its divisors (192).

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, 258649 + ... + 298151.

It is an arithmetic number, because the mean of its divisors is an integer number (195174450).

Almost surely, 2^10997635200 is an apocalyptic number.

10997635200 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 10997635200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18736747200).

10997635200 is an abundant number, since it is smaller than the sum of its proper divisors (26475859200).

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

10997635200 is a wasteful number, since it uses less digits than its factorization.

10997635200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39559 (or 39542 counting only the distinct ones).

The product of its (nonzero) digits is 102060, while the sum is 42.

The spelling of 10997635200 in words is "ten billion, nine hundred ninety-seven million, six hundred thirty-five thousand, two hundred".