10988736000 has 640 divisors, whose sum is σ = 41120082432. Its totient is φ = 2601984000.

The previous prime is 10988735983. The next prime is 10988736007. The reversal of 10988736000 is 63788901.

It is a tau number, because it is divible by the number of its divisors (640).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10988736007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 255551979 + ... + 255552021.

Almost surely, 2^10988736000 is an apocalyptic number.

10988736000 is a gapful number since it is divisible by the number (10) 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 10988736000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20560041216).

10988736000 is an abundant number, since it is smaller than the sum of its proper divisors (30131346432).

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

10988736000 is an frugal number, since it uses more digits than its factorization.

10988736000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 42.

The spelling of 10988736000 in words is "ten billion, nine hundred eighty-eight million, seven hundred thirty-six thousand".