16034977728 has 840 divisors, whose sum is σ = 63405471360. Its totient is φ = 3891732480.

The previous prime is 16034977703. The next prime is 16034977769. The reversal of 16034977728 is 82777943061.

16034977728 is a `hidden beast` number, since 1 + 60 + 3 + 497 + 77 + 28 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 115359483 + ... + 115359621.

It is an arithmetic number, because the mean of its divisors is an integer number (75482704).

Almost surely, 2^16034977728 is an apocalyptic number.

16034977728 is a gapful number since it is divisible by the number (18) 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 16034977728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31702735680).

16034977728 is an abundant number, since it is smaller than the sum of its proper divisors (47370493632).

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

16034977728 is a wasteful number, since it uses less digits than its factorization.

16034977728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 3556224, while the sum is 54.

The spelling of 16034977728 in words is "sixteen billion, thirty-four million, nine hundred seventy-seven thousand, seven hundred twenty-eight".