10916669417472 has 1344 divisors, whose sum is σ = 42409431792000. Its totient is φ = 2726943916032.

The previous prime is 10916669417441. The next prime is 10916669417473. The reversal of 10916669417472 is 27471496661901.

It is a tau number, because it is divible by the number of its divisors (1344).

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

It is not an unprimeable number, because it can be changed into a prime (10916669417473) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 2581381054 + ... + 2581385282.

It is an arithmetic number, because the mean of its divisors is an integer number (31554636750).

Almost surely, 2^{10916669417472} is an apocalyptic number.

10916669417472 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 10916669417472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21204715896000).

10916669417472 is an abundant number, since it is smaller than the sum of its proper divisors (31492762374528).

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

10916669417472 is an equidigital number, since it uses as much as digits as its factorization.

10916669417472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4308 (or 4273 counting only the distinct ones).

The product of its (nonzero) digits is 27433728, while the sum is 63.

The spelling of 10916669417472 in words is "ten trillion, nine hundred sixteen billion, six hundred sixty-nine million, four hundred seventeen thousand, four hundred seventy-two".