11901200313600 has 864 divisors, whose sum is σ = 47153268525440. Its totient is φ = 2919814594560.

The previous prime is 11901200313491. The next prime is 11901200313643. The reversal of 11901200313600 is 631300210911.

11901200313600 is a `hidden beast` number, since 1 + 1 + 9 + 0 + 1 + 20 + 0 + 31 + 3 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 689636172 + ... + 689653428.

Almost surely, 2^{11901200313600} is an apocalyptic number.

11901200313600 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 11901200313600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23576634262720).

11901200313600 is an abundant number, since it is smaller than the sum of its proper divisors (35252068211840).

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

11901200313600 is a wasteful number, since it uses less digits than its factorization.

11901200313600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17612 (or 17587 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The spelling of 11901200313600 in words is "eleven trillion, nine hundred one billion, two hundred million, three hundred thirteen thousand, six hundred".