1395906565560 has 256 divisors, whose sum is σ = 4575965184000. Its totient is φ = 338607101952.

The previous prime is 1395906565513. The next prime is 1395906565621. The reversal of 1395906565560 is 655656095931.

It is a super-2 number, since 2×1395906565560² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 1395906565494 and 1395906565503.

It is a congruent number.

It is an unprimeable number.

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, 29496237 + ... + 29543523.

It is an arithmetic number, because the mean of its divisors is an integer number (17874864000).

Almost surely, 2^{1395906565560} is an apocalyptic number.

1395906565560 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 1395906565560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2287982592000).

1395906565560 is an abundant number, since it is smaller than the sum of its proper divisors (3180058618440).

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

1395906565560 is a wasteful number, since it uses less digits than its factorization.

1395906565560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47590 (or 47586 counting only the distinct ones).

The product of its (nonzero) digits is 32805000, while the sum is 60.

The spelling of 1395906565560 in words is "one trillion, three hundred ninety-five billion, nine hundred six million, five hundred sixty-five thousand, five hundred sixty".