10964160000 has 700 divisors, whose sum is σ = 41916794832. Its totient is φ = 2861568000.

The previous prime is 10964159977. The next prime is 10964160023. The reversal of 10964160000 is 6146901.

10964160000 is a `hidden beast` number, since 10 + 9 + 6 + 41 + 600 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (10964159977) and next prime (10964160023).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 69 ways as a sum of consecutive naturals, for example, 233279977 + ... + 233280023.

Almost surely, 2^10964160000 is an apocalyptic number.

10964160000 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 10964160000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20958397416).

10964160000 is an abundant number, since it is smaller than the sum of its proper divisors (30952634832).

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

10964160000 is an frugal number, since it uses more digits than its factorization.

10964160000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The spelling of 10964160000 in words is "ten billion, nine hundred sixty-four million, one hundred sixty thousand".