10945368000 has 1120 divisors, whose sum is σ = 49095720960. Its totient is φ = 2351462400.

The previous prime is 10945367977. The next prime is 10945368017. The reversal of 10945368000 is 86354901.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 86183937 + ... + 86184063.

Almost surely, 2^10945368000 is an apocalyptic number.

10945368000 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 10945368000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24547860480).

10945368000 is an abundant number, since it is smaller than the sum of its proper divisors (38150352960).

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

10945368000 is a wasteful number, since it uses less digits than its factorization.

10945368000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 10945368000 in words is "ten billion, nine hundred forty-five million, three hundred sixty-eight thousand".