10329050952000 has 2016 divisors, whose sum is σ = 42794656055424. Its totient is φ = 2356992000000.

The previous prime is 10329050951911. The next prime is 10329050952053. The reversal of 10329050952000 is 25905092301.

It is a happy number.

10329050952000 is a `hidden beast` number, since 10 + 3 + 2 + 90 + 509 + 52 + 0 + 0 + 0 = 666.

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 287 ways as a sum of consecutive naturals, for example, 31205591835 + ... + 31205592165.

It is an arithmetic number, because the mean of its divisors is an integer number (21227507964).

Almost surely, 2^{10329050952000} is an apocalyptic number.

10329050952000 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 10329050952000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21397328027712).

10329050952000 is an abundant number, since it is smaller than the sum of its proper divisors (32465605103424).

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

10329050952000 is a wasteful number, since it uses less digits than its factorization.

10329050952000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 478 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 24300, while the sum is 36.

The spelling of 10329050952000 in words is "ten trillion, three hundred twenty-nine billion, fifty million, nine hundred fifty-two thousand".