10996352640 has 1344 divisors, whose sum is σ = 50710521960. Its totient is φ = 2257403904.

The previous prime is 10996352611. The next prime is 10996352651. The reversal of 10996352640 is 4625369901.

10996352640 is a `hidden beast` number, since 1 + 0 + 9 + 9 + 635 + 2 + 6 + 4 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 9073705536 + 1922647104 = 95256^2 + 43848^2 .

It is a tau number, because it is divible by the number of its divisors (1344).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 297198702 + ... + 297198738.

Almost surely, 2^10996352640 is an apocalyptic number.

10996352640 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 10996352640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25355260980).

10996352640 is an abundant number, since it is smaller than the sum of its proper divisors (39714169320).

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

10996352640 is an equidigital number, since it uses as much as digits as its factorization.

10996352640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The spelling of 10996352640 in words is "ten billion, nine hundred ninety-six million, three hundred fifty-two thousand, six hundred forty".