11779404000 has 1152 divisors, whose sum is σ = 51197432832. Its totient is φ = 2341785600.

The previous prime is 11779403983. The next prime is 11779404019. The reversal of 11779404000 is 40497711.

11779404000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×11779404000³ (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 175811967 + ... + 175812033.

It is an arithmetic number, because the mean of its divisors is an integer number (44442216).

Almost surely, 2^11779404000 is an apocalyptic number.

11779404000 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 11779404000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25598716416).

11779404000 is an abundant number, since it is smaller than the sum of its proper divisors (39418028832).

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

11779404000 is a wasteful number, since it uses less digits than its factorization.

11779404000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 33.

The spelling of 11779404000 in words is "eleven billion, seven hundred seventy-nine million, four hundred four thousand".