10999697760 has 288 divisors, whose sum is σ = 38947184640. Its totient is φ = 2824012800.

The previous prime is 10999697741. The next prime is 10999697771. The reversal of 10999697760 is 6779699901.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×10999697760² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10668445 + ... + 10669475.

It is an arithmetic number, because the mean of its divisors is an integer number (135233280).

Almost surely, 2^10999697760 is an apocalyptic number.

10999697760 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 10999697760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19473592320).

10999697760 is an abundant number, since it is smaller than the sum of its proper divisors (27947486880).

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

10999697760 is a wasteful number, since it uses less digits than its factorization.

10999697760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1322 (or 1311 counting only the distinct ones).

The product of its (nonzero) digits is 11573604, while the sum is 63.

The spelling of 10999697760 in words is "ten billion, nine hundred ninety-nine million, six hundred ninety-seven thousand, seven hundred sixty".