16829527842 has 128 divisors (see below), whose sum is σ = 40487040000. Its totient is φ = 5162766336.

The previous prime is 16829527817. The next prime is 16829527873. The reversal of 16829527842 is 24872592861.

16829527842 is a `hidden beast` number, since 16 + 8 + 29 + 527 + 84 + 2 = 666.

It is a super-3 number, since 3×16829527842³ (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7903834 + ... + 7905962.

It is an arithmetic number, because the mean of its divisors is an integer number (316305000).

Almost surely, 2^16829527842 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16829527842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20243520000).

16829527842 is an abundant number, since it is smaller than the sum of its proper divisors (23657512158).

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

16829527842 is a wasteful number, since it uses less digits than its factorization.

16829527842 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2345 (or 2339 counting only the distinct ones).

The product of its digits is 3870720, while the sum is 54.

The spelling of 16829527842 in words is "sixteen billion, eight hundred twenty-nine million, five hundred twenty-seven thousand, eight hundred forty-two".