10787518348875 has 192 divisors, whose sum is σ = 22476651724800. Its totient is φ = 5129911180800.

The previous prime is 10787518348823. The next prime is 10787518348921. The reversal of 10787518348875 is 57884381578701.

10787518348875 is a `hidden beast` number, since 1 + 0 + 7 + 8 + 7 + 518 + 34 + 8 + 8 + 75 = 666.

It is not a de Polignac number, because 10787518348875 - 2¹⁴ = 10787518332491 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 9261366 + ... + 10360884.

It is an arithmetic number, because the mean of its divisors is an integer number (117065894400).

Almost surely, 2^{10787518348875} is an apocalyptic number.

10787518348875 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10787518348875 is an abundant number, since it is smaller than the sum of its proper divisors (11689133375925).

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

10787518348875 is a wasteful number, since it uses less digits than its factorization.

10787518348875 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1099585 (or 1099563 counting only the distinct ones).

The product of its (nonzero) digits is 421478400, while the sum is 72.

The spelling of 10787518348875 in words is "ten trillion, seven hundred eighty-seven billion, five hundred eighteen million, three hundred forty-eight thousand, eight hundred seventy-five".