11955198225600 has 2016 divisors, whose sum is σ = 52300332564480. Its totient is φ = 2531257344000.

The previous prime is 11955198225539. The next prime is 11955198225629. The reversal of 11955198225600 is 652289155911.

11955198225600 is a `hidden beast` number, since 1 + 1 + 9 + 5 + 5 + 1 + 9 + 8 + 2 + 25 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a super-2 number, since 2×11955198225600² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 9711776985 + ... + 9711778215.

It is an arithmetic number, because the mean of its divisors is an integer number (25942625280).

Almost surely, 2^{11955198225600} is an apocalyptic number.

11955198225600 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 11955198225600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26150166282240).

11955198225600 is an abundant number, since it is smaller than the sum of its proper divisors (40345134338880).

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

11955198225600 is a wasteful number, since it uses less digits than its factorization.

11955198225600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1419 (or 1401 counting only the distinct ones).

The product of its (nonzero) digits is 1944000, while the sum is 54.

The spelling of 11955198225600 in words is "eleven trillion, nine hundred fifty-five billion, one hundred ninety-eight million, two hundred twenty-five thousand, six hundred".