16530633792 has 224 divisors, whose sum is σ = 49943308800. Its totient is φ = 5358721536.

The previous prime is 16530633773. The next prime is 16530633793. The reversal of 16530633792 is 29733603561.

16530633792 is a `hidden beast` number, since 1 + 6 + 5 + 3 + 0 + 633 + 7 + 9 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (16530633793) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28160923 + ... + 28161509.

It is an arithmetic number, because the mean of its divisors is an integer number (222961200).

Almost surely, 2^16530633792 is an apocalyptic number.

16530633792 is a gapful number since it is divisible by the number (12) 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 16530633792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24971654400).

16530633792 is an abundant number, since it is smaller than the sum of its proper divisors (33412675008).

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

16530633792 is a wasteful number, since it uses less digits than its factorization.

16530633792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1030 (or 1014 counting only the distinct ones).

The product of its (nonzero) digits is 612360, while the sum is 45.

The spelling of 16530633792 in words is "sixteen billion, five hundred thirty million, six hundred thirty-three thousand, seven hundred ninety-two".