10829952000 has 1056 divisors, whose sum is σ = 47823160320. Its totient is φ = 2300313600.

The previous prime is 10829951999. The next prime is 10829952019. The reversal of 10829952000 is 25992801.

10829952000 is a `hidden beast` number, since 108 + 29 + 9 + 520 + 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 95 ways as a sum of consecutive naturals, for example, 137087961 + ... + 137088039.

Almost surely, 2^10829952000 is an apocalyptic number.

10829952000 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 10829952000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23911580160).

10829952000 is an abundant number, since it is smaller than the sum of its proper divisors (36993208320).

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

10829952000 is a wasteful number, since it uses less digits than its factorization.

10829952000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The spelling of 10829952000 in words is "ten billion, eight hundred twenty-nine million, nine hundred fifty-two thousand".