10988019308032 has 240 divisors, whose sum is σ = 23947631503488. Its totient is φ = 5034351329280.

The previous prime is 10988019308029. The next prime is 10988019308039. The reversal of 10988019308032 is 23080391088901.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10988019308039) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 10053082078 + ... + 10053083170.

Almost surely, 2^{10988019308032} 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 10988019308032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11973815751744).

10988019308032 is an abundant number, since it is smaller than the sum of its proper divisors (12959612195456).

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

10988019308032 is a wasteful number, since it uses less digits than its factorization.

10988019308032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1881 (or 1852 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 52.

The spelling of 10988019308032 in words is "ten trillion, nine hundred eighty-eight billion, nineteen million, three hundred eight thousand, thirty-two".