10966305000 has 320 divisors, whose sum is σ = 39731281920. Its totient is φ = 2469600000.

The previous prime is 10966304989. The next prime is 10966305013. The reversal of 10966305000 is 50366901.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7454265 + ... + 7455735.

It is an arithmetic number, because the mean of its divisors is an integer number (124160256).

Almost surely, 2^10966305000 is an apocalyptic number.

10966305000 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 10966305000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19865640960).

10966305000 is an abundant number, since it is smaller than the sum of its proper divisors (28764976920).

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

10966305000 is a wasteful number, since it uses less digits than its factorization.

10966305000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1578 (or 1559 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 30.

The spelling of 10966305000 in words is "ten billion, nine hundred sixty-six million, three hundred five thousand".