20161246560 has 768 divisors, whose sum is σ = 87178291200. Its totient is φ = 3790209024.

The previous prime is 20161246559. The next prime is 20161246607. The reversal of 20161246560 is 6564216102.

It is a super-2 number, since 2×20161246560² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 14107926 + ... + 14109354.

It is an arithmetic number, because the mean of its divisors is an integer number (113513400).

Almost surely, 2^20161246560 is an apocalyptic number.

20161246560 is a gapful number since it is divisible by the number (20) 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 20161246560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43589145600).

20161246560 is an abundant number, since it is smaller than the sum of its proper divisors (67017044640).

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

20161246560 is a wasteful number, since it uses less digits than its factorization.

20161246560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1503 (or 1495 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The spelling of 20161246560 in words is "twenty billion, one hundred sixty-one million, two hundred forty-six thousand, five hundred sixty".