10988771040 has 336 divisors, whose sum is σ = 41923562688. Its totient is φ = 2704555008.

The previous prime is 10988771029. The next prime is 10988771047. The reversal of 10988771040 is 4017788901.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10988771047) 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 55 ways as a sum of consecutive naturals, for example, 1512697 + ... + 1519943.

It is an arithmetic number, because the mean of its divisors is an integer number (124772508).

Almost surely, 2^10988771040 is an apocalyptic number.

10988771040 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 10988771040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20961781344).

10988771040 is an abundant number, since it is smaller than the sum of its proper divisors (30934791648).

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

10988771040 is an equidigital number, since it uses as much as digits as its factorization.

10988771040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7293 (or 7270 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 45.

The spelling of 10988771040 in words is "ten billion, nine hundred eighty-eight million, seven hundred seventy-one thousand, forty".