1560724881408 has 1080 divisors, whose sum is σ = 5821455996720. Its totient is φ = 398343536640.

The previous prime is 1560724881377. The next prime is 1560724881433. The reversal of 1560724881408 is 8041884270651.

1560724881408 is a `hidden beast` number, since 1 + 5 + 607 + 24 + 8 + 8 + 1 + 4 + 0 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5801951098 + ... + 5801951366.

It is an arithmetic number, because the mean of its divisors is an integer number (5390237034).

Almost surely, 2^{1560724881408} is an apocalyptic number.

1560724881408 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 1560724881408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2910727998360).

1560724881408 is an abundant number, since it is smaller than the sum of its proper divisors (4260731115312).

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

1560724881408 is a wasteful number, since it uses less digits than its factorization.

1560724881408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 401 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 3440640, while the sum is 54.

The spelling of 1560724881408 in words is "one trillion, five hundred sixty billion, seven hundred twenty-four million, eight hundred eighty-one thousand, four hundred eight".