10945971288000 has 4480 divisors, whose sum is σ = 53465240125440. Its totient is φ = 2149908480000.

The previous prime is 10945971287963. The next prime is 10945971288029. The reversal of 10945971288000 is 88217954901.

It is a happy number.

10945971288000 is a `hidden beast` number, since 109 + 459 + 7 + 1 + 2 + 8 + 80 + 0 + 0 = 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 polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 45418967880 + ... + 45418968120.

Almost surely, 2^{10945971288000} is an apocalyptic number.

10945971288000 is a gapful number since it is divisible by the number (10) 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 10945971288000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26732620062720).

10945971288000 is an abundant number, since it is smaller than the sum of its proper divisors (42519268837440).

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

10945971288000 is a wasteful number, since it uses less digits than its factorization.

10945971288000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 54.

The spelling of 10945971288000 in words is "ten trillion, nine hundred forty-five billion, nine hundred seventy-one million, two hundred eighty-eight thousand".