1560490461216 has 240 divisors, whose sum is σ = 4796579735640. Its totient is φ = 497046896640.

The previous prime is 1560490461169. The next prime is 1560490461217. The reversal of 1560490461216 is 6121640940651.

1560490461216 is a `hidden beast` number, since 1 + 560 + 4 + 9 + 0 + 4 + 61 + 21 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1067130320400 + 493360140816 = 1033020^2 + 702396^2 .

It is a super-2 number, since 2×1560490461216² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1560490461217) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 7184286 + ... + 7398306.

Almost surely, 2^{1560490461216} is an apocalyptic number.

1560490461216 is a gapful number since it is divisible by the number (16) 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 1560490461216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2398289867820).

1560490461216 is an abundant number, since it is smaller than the sum of its proper divisors (3236089274424).

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

1560490461216 is a wasteful number, since it uses less digits than its factorization.

1560490461216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214169 (or 214152 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 1560490461216 in words is "one trillion, five hundred sixty billion, four hundred ninety million, four hundred sixty-one thousand, two hundred sixteen".