16552898432928 has 576 divisors, whose sum is σ = 55917212682240. Its totient is φ = 4578778368000.

The previous prime is 16552898432927. The next prime is 16552898432929. The reversal of 16552898432928 is 82923489825561.

It is a happy number.

16552898432928 is a `hidden beast` number, since 1 + 6 + 5 + 528 + 9 + 8 + 4 + 3 + 2 + 92 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (16552898432927) and next prime (16552898432929).

It is a super-2 number, since 2×16552898432928² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (16552898432927) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 3558995403 + ... + 3559000053.

It is an arithmetic number, because the mean of its divisors is an integer number (97078494240).

Almost surely, 2^{16552898432928} is an apocalyptic number.

16552898432928 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 16552898432928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27958606341120).

16552898432928 is an abundant number, since it is smaller than the sum of its proper divisors (39364314249312).

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

16552898432928 is a wasteful number, since it uses less digits than its factorization.

16552898432928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5633 (or 5622 counting only the distinct ones).

The product of its digits is 597196800, while the sum is 72.

The spelling of 16552898432928 in words is "sixteen trillion, five hundred fifty-two billion, eight hundred ninety-eight million, four hundred thirty-two thousand, nine hundred twenty-eight".