10829754000 has 320 divisors, whose sum is σ = 41781492480. Its totient is φ = 2665612800.

The previous prime is 10829753999. The next prime is 10829754041. The reversal of 10829754000 is 45792801.

10829754000 is a `hidden beast` number, since 108 + 2 + 9 + 7 + 540 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 63 ways as a sum of consecutive naturals, for example, 694287 + ... + 709713.

It is an arithmetic number, because the mean of its divisors is an integer number (130567164).

Almost surely, 2^10829754000 is an apocalyptic number.

10829754000 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 10829754000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20890746240).

10829754000 is an abundant number, since it is smaller than the sum of its proper divisors (30951738480).

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

10829754000 is a wasteful number, since it uses less digits than its factorization.

10829754000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15472 (or 15450 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 10829754000 in words is "ten billion, eight hundred twenty-nine million, seven hundred fifty-four thousand".