10990904289792 has 960 divisors, whose sum is σ = 37035038177280. Its totient is φ = 2830398455808.

The previous prime is 10990904289787. The next prime is 10990904289809. The reversal of 10990904289792 is 29798240909901.

It is a Harshad number since it is a multiple of its sum of digits (69).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8942964634 + ... + 8942965862.

It is an arithmetic number, because the mean of its divisors is an integer number (38578164768).

Almost surely, 2^{10990904289792} is an apocalyptic number.

10990904289792 is a gapful number since it is divisible by the number (12) 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 10990904289792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18517519088640).

10990904289792 is an abundant number, since it is smaller than the sum of its proper divisors (26044133887488).

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

10990904289792 is a wasteful number, since it uses less digits than its factorization.

10990904289792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1381 (or 1336 counting only the distinct ones).

The product of its (nonzero) digits is 52907904, while the sum is 69.

The spelling of 10990904289792 in words is "ten trillion, nine hundred ninety billion, nine hundred four million, two hundred eighty-nine thousand, seven hundred ninety-two".