11761225420672 has 128 divisors (see below), whose sum is σ = 28842450517440. Its totient is φ = 4652013109248.

The previous prime is 11761225420663. The next prime is 11761225420699. The reversal of 11761225420672 is 27602452216711.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×11761225420672² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72101188 + ... + 72264124.

Almost surely, 2^{11761225420672} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11761225420672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14421225258720).

11761225420672 is an abundant number, since it is smaller than the sum of its proper divisors (17081225096768).

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

11761225420672 is a wasteful number, since it uses less digits than its factorization.

11761225420672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169168 (or 169156 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 46.

The spelling of 11761225420672 in words is "eleven trillion, seven hundred sixty-one billion, two hundred twenty-five million, four hundred twenty thousand, six hundred seventy-two".