11961416563200 has 1080 divisors, whose sum is σ = 47850380772480. Its totient is φ = 2849225932800.

The previous prime is 11961416563181. The next prime is 11961416563237. The reversal of 11961416563200 is 236561416911.

11961416563200 is a `hidden beast` number, since 1 + 1 + 9 + 6 + 1 + 4 + 1 + 6 + 5 + 632 + 0 + 0 = 666.

11961416563200 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 (45).

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 603522891 + ... + 603542709.

Almost surely, 2^{11961416563200} is an apocalyptic number.

11961416563200 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 11961416563200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23925190386240).

11961416563200 is an abundant number, since it is smaller than the sum of its proper divisors (35888964209280).

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

11961416563200 is a wasteful number, since it uses less digits than its factorization.

11961416563200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19910 (or 19873 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 11961416563200 in words is "eleven trillion, nine hundred sixty-one billion, four hundred sixteen million, five hundred sixty-three thousand, two hundred".