10986542780928 has 640 divisors, whose sum is σ = 34972085643264. Its totient is φ = 3021019545600.

The previous prime is 10986542780923. The next prime is 10986542780933. The reversal of 10986542780928 is 82908724568901.

It is an interprime number because it is at equal distance from previous prime (10986542780923) and next prime (10986542780933).

It is a super-2 number, since 2×10986542780928² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10986542780923) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 6752637651 + ... + 6752639277.

Almost surely, 2^{10986542780928} 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 10986542780928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17486042821632).

10986542780928 is an abundant number, since it is smaller than the sum of its proper divisors (23985542862336).

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

10986542780928 is a wasteful number, since it uses less digits than its factorization.

10986542780928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2176 (or 2160 counting only the distinct ones).

The product of its (nonzero) digits is 139345920, while the sum is 69.

The spelling of 10986542780928 in words is "ten trillion, nine hundred eighty-six billion, five hundred forty-two million, seven hundred eighty thousand, nine hundred twenty-eight".