11709808673400 has 288 divisors, whose sum is σ = 39599339364000. Its totient is φ = 3100924477440.

The previous prime is 11709808673203. The next prime is 11709808673473. The reversal of 11709808673400 is 437680890711.

11709808673400 is a `hidden beast` number, since 1 + 1 + 7 + 0 + 98 + 0 + 86 + 73 + 400 = 666.

11709808673400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 197640981 + ... + 197700219.

It is an arithmetic number, because the mean of its divisors is an integer number (137497706125).

Almost surely, 2^{11709808673400} is an apocalyptic number.

11709808673400 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 11709808673400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19799669682000).

11709808673400 is an abundant number, since it is smaller than the sum of its proper divisors (27889530690600).

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

11709808673400 is a wasteful number, since it uses less digits than its factorization.

11709808673400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60023 (or 60011 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The spelling of 11709808673400 in words is "eleven trillion, seven hundred nine billion, eight hundred eight million, six hundred seventy-three thousand, four hundred".