10993266648 has 512 divisors, whose sum is σ = 40236134400. Its totient is φ = 2698665984.

The previous prime is 10993266629. The next prime is 10993266667. The reversal of 10993266648 is 84666239901.

It is an interprime number because it is at equal distance from previous prime (10993266629) and next prime (10993266667).

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

It is a junction number, because it is equal to n+sod(n) for n = 10993266594 and 10993266603.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 55803286 + ... + 55803482.

It is an arithmetic number, because the mean of its divisors is an integer number (78586200).

Almost surely, 2^10993266648 is an apocalyptic number.

10993266648 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 10993266648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20118067200).

10993266648 is an abundant number, since it is smaller than the sum of its proper divisors (29242867752).

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

10993266648 is a wasteful number, since it uses less digits than its factorization.

10993266648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The spelling of 10993266648 in words is "ten billion, nine hundred ninety-three million, two hundred sixty-six thousand, six hundred forty-eight".