10997876736 has 864 divisors, whose sum is σ = 42821382240. Its totient is φ = 2786918400.

The previous prime is 10997876717. The next prime is 10997876767. The reversal of 10997876736 is 63767879901.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 268240876 + ... + 268240916.

It is an arithmetic number, because the mean of its divisors is an integer number (49561785).

Almost surely, 2^10997876736 is an apocalyptic number.

10997876736 is a gapful number since it is divisible by the number (16) 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 10997876736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21410691120).

10997876736 is an abundant number, since it is smaller than the sum of its proper divisors (31823505504).

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

10997876736 is an equidigital number, since it uses as much as digits as its factorization.

10997876736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 24004512, while the sum is 63.

The spelling of 10997876736 in words is "ten billion, nine hundred ninety-seven million, eight hundred seventy-six thousand, seven hundred thirty-six".