10969900617312 has 384 divisors, whose sum is σ = 39387903851520. Its totient is φ = 2892516065280.

The previous prime is 10969900617293. The next prime is 10969900617341. The reversal of 10969900617312 is 21371600996901.

10969900617312 is a `hidden beast` number, since 1 + 0 + 9 + 6 + 9 + 9 + 0 + 0 + 617 + 3 + 12 = 666.

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

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 427780363 + ... + 427806005.

It is an arithmetic number, because the mean of its divisors is an integer number (102572666280).

Almost surely, 2^{10969900617312} is an apocalyptic number.

10969900617312 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 10969900617312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19693951925760).

10969900617312 is an abundant number, since it is smaller than the sum of its proper divisors (28418003234208).

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

10969900617312 is a wasteful number, since it uses less digits than its factorization.

10969900617312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31123 (or 31109 counting only the distinct ones).

The product of its (nonzero) digits is 1102248, while the sum is 54.

The spelling of 10969900617312 in words is "ten trillion, nine hundred sixty-nine billion, nine hundred million, six hundred seventeen thousand, three hundred twelve".