10952985476960 has 384 divisors, whose sum is σ = 28510686167040. Its totient is φ = 3960870451200.

The previous prime is 10952985476957. The next prime is 10952985477013. The reversal of 10952985476960 is 6967458925901.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2012303999 + ... + 2012309441.

It is an arithmetic number, because the mean of its divisors is an integer number (74246578560).

Almost surely, 2^{10952985476960} is an apocalyptic number.

10952985476960 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 10952985476960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14255343083520).

10952985476960 is an abundant number, since it is smaller than the sum of its proper divisors (17557700690080).

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

10952985476960 is a wasteful number, since it uses less digits than its factorization.

10952985476960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5802 (or 5794 counting only the distinct ones).

The product of its (nonzero) digits is 293932800, while the sum is 71.

The spelling of 10952985476960 in words is "ten trillion, nine hundred fifty-two billion, nine hundred eighty-five million, four hundred seventy-six thousand, nine hundred sixty".