10536881658912 has 1920 divisors, whose sum is σ = 39355767779328. Its totient is φ = 2701718323200.

The previous prime is 10536881658883. The next prime is 10536881658971. The reversal of 10536881658912 is 21985618863501.

10536881658912 is a `hidden beast` number, since 1 + 0 + 5 + 36 + 8 + 8 + 1 + 6 + 589 + 12 = 666.

It is a super-2 number, since 2×10536881658912² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 10536881658912.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 45222667948 + ... + 45222668180.

Almost surely, 2^{10536881658912} is an apocalyptic number.

10536881658912 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 10536881658912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19677883889664).

10536881658912 is an abundant number, since it is smaller than the sum of its proper divisors (28818886120416).

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

10536881658912 is a wasteful number, since it uses less digits than its factorization.

10536881658912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 24883200, while the sum is 63.

The spelling of 10536881658912 in words is "ten trillion, five hundred thirty-six billion, eight hundred eighty-one million, six hundred fifty-eight thousand, nine hundred twelve".