11811078400 has 108 divisors (see below), whose sum is σ = 31892115024. Its totient is φ = 4294912000.

The previous prime is 11811078397. The next prime is 11811078401. The reversal of 11811078400 is 487011811.

It is not an unprimeable number, because it can be changed into a prime (11811078401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13486 + ... + 154285.

Almost surely, 2^11811078400 is an apocalyptic number.

11811078400 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 11811078400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15946057512).

11811078400 is an abundant number, since it is smaller than the sum of its proper divisors (20081036624).

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

11811078400 is a wasteful number, since it uses less digits than its factorization.

11811078400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167808 (or 167789 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 31.

The spelling of 11811078400 in words is "eleven billion, eight hundred eleven million, seventy-eight thousand, four hundred".