17428750560 has 960 divisors, whose sum is σ = 70815596544. Its totient is φ = 4006195200.

The previous prime is 17428750519. The next prime is 17428750621. The reversal of 17428750560 is 6505782471.

17428750560 is a `hidden beast` number, since 1 + 7 + 4 + 2 + 87 + 5 + 0 + 560 = 666.

It is a super-2 number, since 2×17428750560² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 245475325 + ... + 245475395.

Almost surely, 2^17428750560 is an apocalyptic number.

17428750560 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 17428750560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35407798272).

17428750560 is an abundant number, since it is smaller than the sum of its proper divisors (53386845984).

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

17428750560 is a wasteful number, since it uses less digits than its factorization.

17428750560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 45.

The spelling of 17428750560 in words is "seventeen billion, four hundred twenty-eight million, seven hundred fifty thousand, five hundred sixty".