13511142677952 has 560 divisors, whose sum is σ = 41744014405632. Its totient is φ = 4316396636160.

The previous prime is 13511142677941. The next prime is 13511142677959. The reversal of 13511142677952 is 25977624111531.

It is a happy number.

13511142677952 is a `hidden beast` number, since 1 + 3 + 51 + 11 + 426 + 77 + 95 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13511142677959) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 8535149353 + ... + 8535150935.

Almost surely, 2^{13511142677952} is an apocalyptic number.

13511142677952 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 13511142677952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20872007202816).

13511142677952 is an abundant number, since it is smaller than the sum of its proper divisors (28232871727680).

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

13511142677952 is a wasteful number, since it uses less digits than its factorization.

13511142677952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2118 (or 2099 counting only the distinct ones).

The product of its digits is 3175200, while the sum is 54.

The spelling of 13511142677952 in words is "thirteen trillion, five hundred eleven billion, one hundred forty-two million, six hundred seventy-seven thousand, nine hundred fifty-two".