16252198560 has 768 divisors, whose sum is σ = 67212633600. Its totient is φ = 3629187072.

The previous prime is 16252198517. The next prime is 16252198603. The reversal of 16252198560 is 6589125261.

16252198560 is a `hidden beast` number, since 1 + 62 + 5 + 21 + 9 + 8 + 560 = 666.

16252198560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (16252198517) and next prime (16252198603).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 27686587 + ... + 27687173.

It is an arithmetic number, because the mean of its divisors is an integer number (87516450).

Almost surely, 2^16252198560 is an apocalyptic number.

16252198560 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 16252198560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33606316800).

16252198560 is an abundant number, since it is smaller than the sum of its proper divisors (50960435040).

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

16252198560 is a wasteful number, since it uses less digits than its factorization.

16252198560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 670 (or 656 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The spelling of 16252198560 in words is "sixteen billion, two hundred fifty-two million, one hundred ninety-eight thousand, five hundred sixty".