11978782200 has 1008 divisors, whose sum is σ = 52995722640. Its totient is φ = 2463436800.

The previous prime is 11978782187. The next prime is 11978782223. The reversal of 11978782200 is 228787911.

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 251 ways as a sum of consecutive naturals, for example, 123492552 + ... + 123492648.

Almost surely, 2^11978782200 is an apocalyptic number.

11978782200 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 11978782200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26497861320).

11978782200 is an abundant number, since it is smaller than the sum of its proper divisors (41016940440).

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

11978782200 is a wasteful number, since it uses less digits than its factorization.

11978782200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 45.

The spelling of 11978782200 in words is "eleven billion, nine hundred seventy-eight million, seven hundred eighty-two thousand, two hundred".