11497966200 has 480 divisors, whose sum is σ = 46771068960. Its totient is φ = 2562969600.

The previous prime is 11497966163. The next prime is 11497966219. The reversal of 11497966200 is 266979411.

11497966200 is a `hidden beast` number, since 1 + 14 + 9 + 7 + 9 + 6 + 620 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 4648164 + ... + 4650636.

It is an arithmetic number, because the mean of its divisors is an integer number (97439727).

Almost surely, 2^11497966200 is an apocalyptic number.

11497966200 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 11497966200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23385534480).

11497966200 is an abundant number, since it is smaller than the sum of its proper divisors (35273102760).

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

11497966200 is a wasteful number, since it uses less digits than its factorization.

11497966200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2549 (or 2531 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The spelling of 11497966200 in words is "eleven billion, four hundred ninety-seven million, nine hundred sixty-six thousand, two hundred".