10881072000 has 768 divisors, whose sum is σ = 42570964800. Its totient is φ = 2654208000.

The previous prime is 10881071983. The next prime is 10881072011. The reversal of 10881072000 is 27018801.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 112175952 + ... + 112176048.

Almost surely, 2^10881072000 is an apocalyptic number.

10881072000 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 10881072000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21285482400).

10881072000 is an abundant number, since it is smaller than the sum of its proper divisors (31689892800).

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

10881072000 is a wasteful number, since it uses less digits than its factorization.

10881072000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 27.

The spelling of 10881072000 in words is "ten billion, eight hundred eighty-one million, seventy-two thousand".