11772079401600 has 4608 divisors, whose sum is σ = 56351393280000. Its totient is φ = 2414168064000.

The previous prime is 11772079401583. The next prime is 11772079401611. The reversal of 11772079401600 is 610497027711.

11772079401600 is a `hidden beast` number, since 1 + 17 + 7 + 20 + 7 + 9 + 4 + 0 + 1 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 116555241550 + ... + 116555241650.

It is an arithmetic number, because the mean of its divisors is an integer number (12229035000).

Almost surely, 2^{11772079401600} is an apocalyptic number.

11772079401600 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 11772079401600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28175696640000).

11772079401600 is an abundant number, since it is smaller than the sum of its proper divisors (44579313878400).

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

11772079401600 is a wasteful number, since it uses less digits than its factorization.

11772079401600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 148176, while the sum is 45.

The spelling of 11772079401600 in words is "eleven trillion, seven hundred seventy-two billion, seventy-nine million, four hundred one thousand, six hundred".