11779858742400 has 3456 divisors, whose sum is σ = 54340856069760. Its totient is φ = 2370738585600.

The previous prime is 11779858742347. The next prime is 11779858742401. The reversal of 11779858742400 is 424785897711.

11779858742400 is a `hidden beast` number, since 1 + 1 + 7 + 7 + 9 + 8 + 587 + 4 + 2 + 40 + 0 = 666.

11779858742400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (11779858742401) by changing a digit.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 175818787167 + ... + 175818787233.

It is an arithmetic number, because the mean of its divisors is an integer number (15723627335).

Almost surely, 2^{11779858742400} is an apocalyptic number.

11779858742400 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 11779858742400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27170428034880).

11779858742400 is an abundant number, since it is smaller than the sum of its proper divisors (42560997327360).

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

11779858742400 is a wasteful number, since it uses less digits than its factorization.

11779858742400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 31610880, while the sum is 63.

The spelling of 11779858742400 in words is "eleven trillion, seven hundred seventy-nine billion, eight hundred fifty-eight million, seven hundred forty-two thousand, four hundred".