10997717328 has 560 divisors, whose sum is σ = 37057159440. Its totient is φ = 3135283200.

The previous prime is 10997717323. The next prime is 10997717347. The reversal of 10997717328 is 82371779901.

It can be written as a sum of positive squares in 8 ways, for example, as 5298675264 + 5699042064 = 72792^2 + 75492^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10997717323) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 180290418 + ... + 180290478.

It is an arithmetic number, because the mean of its divisors is an integer number (66173499).

Almost surely, 2^10997717328 is an apocalyptic number.

10997717328 is a gapful number since it is divisible by the number (18) 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 10997717328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18528579720).

10997717328 is an abundant number, since it is smaller than the sum of its proper divisors (26059442112).

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

10997717328 is a wasteful number, since it uses less digits than its factorization.

10997717328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 1333584, while the sum is 54.

The spelling of 10997717328 in words is "ten billion, nine hundred ninety-seven million, seven hundred seventeen thousand, three hundred twenty-eight".