11507677850952 has 128 divisors (see below), whose sum is σ = 32832496857600. Its totient is φ = 3731903207424.

The previous prime is 11507677850917. The next prime is 11507677850971. The reversal of 11507677850952 is 25905877670511.

It is a happy number.

11507677850952 is a `hidden beast` number, since 1 + 1 + 5 + 0 + 7 + 6 + 7 + 78 + 509 + 52 = 666.

It is a super-2 number, since 2×11507677850952² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 11507677850952.

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 31 ways as a sum of consecutive naturals, for example, 105575793 + ... + 105684735.

It is an arithmetic number, because the mean of its divisors is an integer number (256503881700).

Almost surely, 2^{11507677850952} is an apocalyptic number.

11507677850952 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 11507677850952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16416248428800).

11507677850952 is an abundant number, since it is smaller than the sum of its proper divisors (21324819006648).

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

11507677850952 is a wasteful number, since it uses less digits than its factorization.

11507677850952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122212 (or 122202 counting only the distinct ones).

The product of its (nonzero) digits is 37044000, while the sum is 63.

The spelling of 11507677850952 in words is "eleven trillion, five hundred seven billion, six hundred seventy-seven million, eight hundred fifty thousand, nine hundred fifty-two".