10996611840 has 540 divisors, whose sum is σ = 41912514336. Its totient is φ = 2752413696.

The previous prime is 10996611839. The next prime is 10996611851. The reversal of 10996611840 is 4811669901.

10996611840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (540).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 29963337 + ... + 29963703.

Almost surely, 2^10996611840 is an apocalyptic number.

10996611840 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 10996611840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20956257168).

10996611840 is an abundant number, since it is smaller than the sum of its proper divisors (30915902496).

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

10996611840 is an equidigital number, since it uses as much as digits as its factorization.

10996611840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 45.

The spelling of 10996611840 in words is "ten billion, nine hundred ninety-six million, six hundred eleven thousand, eight hundred forty".