10326276000 has 576 divisors, whose sum is σ = 39739714560. Its totient is φ = 2529484800.

The previous prime is 10326275977. The next prime is 10326276011. The reversal of 10326276000 is 67262301.

It is a happy number.

10326276000 is a `hidden beast` number, since 1 + 0 + 32 + 6 + 27 + 600 + 0 = 666.

It is a super-3 number, since 3×10326276000³ (a number of 31 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 28763821 + ... + 28764179.

It is an arithmetic number, because the mean of its divisors is an integer number (68992560).

Almost surely, 2^10326276000 is an apocalyptic number.

10326276000 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 10326276000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19869857280).

10326276000 is an abundant number, since it is smaller than the sum of its proper divisors (29413438560).

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

10326276000 is a wasteful number, since it uses less digits than its factorization.

10326276000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 454 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The spelling of 10326276000 in words is "ten billion, three hundred twenty-six million, two hundred seventy-six thousand".