11828678400 has 1296 divisors, whose sum is σ = 55476449280. Its totient is φ = 2438553600.

The previous prime is 11828678371. The next prime is 11828678417. The reversal of 11828678400 is 487682811.

11828678400 is a `hidden beast` number, since 1 + 182 + 8 + 67 + 8 + 400 = 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 143 ways as a sum of consecutive naturals, for example, 93139137 + ... + 93139263.

Almost surely, 2^11828678400 is an apocalyptic number.

11828678400 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 11828678400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27738224640).

11828678400 is an abundant number, since it is smaller than the sum of its proper divisors (43647770880).

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

11828678400 is a wasteful number, since it uses less digits than its factorization.

11828678400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 45.

The spelling of 11828678400 in words is "eleven billion, eight hundred twenty-eight million, six hundred seventy-eight thousand, four hundred".