10896508305000 has 480 divisors, whose sum is σ = 37098038577600. Its totient is φ = 2888404992000.

The previous prime is 10896508304989. The next prime is 10896508305041. The reversal of 10896508305000 is 50380569801.

10896508305000 is a `hidden beast` number, since 1 + 0 + 8 + 9 + 65 + 0 + 83 + 0 + 500 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 9703034439 + ... + 9703035561.

It is an arithmetic number, because the mean of its divisors is an integer number (77287580370).

Almost surely, 2^{10896508305000} is an apocalyptic number.

10896508305000 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 10896508305000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18549019288800).

10896508305000 is an abundant number, since it is smaller than the sum of its proper divisors (26201530272600).

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

10896508305000 is a wasteful number, since it uses less digits than its factorization.

10896508305000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2251 (or 2229 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The spelling of 10896508305000 in words is "ten trillion, eight hundred ninety-six billion, five hundred eight million, three hundred five thousand".