1560801839688 has 256 divisors, whose sum is σ = 5343648576000. Its totient is φ = 411055782912.

The previous prime is 1560801839669. The next prime is 1560801839689. The reversal of 1560801839688 is 8869381080651.

1560801839688 is a `hidden beast` number, since 1 + 5 + 608 + 0 + 18 + 3 + 9 + 6 + 8 + 8 = 666.

It is a super-2 number, since 2×1560801839688² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (1560801839689) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 13880106 + ... + 13992102.

It is an arithmetic number, because the mean of its divisors is an integer number (20873627250).

Almost surely, 2^{1560801839688} is an apocalyptic number.

1560801839688 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 1560801839688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2671824288000).

1560801839688 is an abundant number, since it is smaller than the sum of its proper divisors (3782846736312).

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

1560801839688 is a wasteful number, since it uses less digits than its factorization.

1560801839688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112741 (or 112731 counting only the distinct ones).

The product of its (nonzero) digits is 19906560, while the sum is 63.

The spelling of 1560801839688 in words is "one trillion, five hundred sixty billion, eight hundred one million, eight hundred thirty-nine thousand, six hundred eighty-eight".