11210661937152 has 960 divisors, whose sum is σ = 35822960517120. Its totient is φ = 3500051005440.

The previous prime is 11210661937151. The next prime is 11210661937217. The reversal of 11210661937152 is 25173916601211.

11210661937152 is a `hidden beast` number, since 1 + 1 + 2 + 10 + 6 + 619 + 3 + 7 + 15 + 2 = 666.

It is a super-2 number, since 2×11210661937152² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11210661937098 and 11210661937107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11210661937151) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 50272026513 + ... + 50272026735.

It is an arithmetic number, because the mean of its divisors is an integer number (37315583872).

Almost surely, 2^{11210661937152} is an apocalyptic number.

11210661937152 is a gapful number since it is divisible by the number (12) 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 11210661937152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17911480258560).

11210661937152 is an abundant number, since it is smaller than the sum of its proper divisors (24612298579968).

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

11210661937152 is an frugal number, since it uses more digits than its factorization.

11210661937152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 45.

The spelling of 11210661937152 in words is "eleven trillion, two hundred ten billion, six hundred sixty-one million, nine hundred thirty-seven thousand, one hundred fifty-two".