1395088879680 has 336 divisors, whose sum is σ = 4830639740784. Its totient is φ = 369540218880.

The previous prime is 1395088879673. The next prime is 1395088879693. The reversal of 1395088879680 is 869788805931.

1395088879680 is a `hidden beast` number, since 1 + 39 + 508 + 8 + 8 + 7 + 9 + 6 + 80 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 98606048256 + 1296482831424 = 314016^2 + 1138632^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 1395088879599 and 1395088879608.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 438567690 + ... + 438570870.

Almost surely, 2^{1395088879680} is an apocalyptic number.

1395088879680 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 1395088879680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2415319870392).

1395088879680 is an abundant number, since it is smaller than the sum of its proper divisors (3435550861104).

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

1395088879680 is a wasteful number, since it uses less digits than its factorization.

1395088879680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4174 (or 4161 counting only the distinct ones).

The product of its (nonzero) digits is 209018880, while the sum is 72.

The spelling of 1395088879680 in words is "one trillion, three hundred ninety-five billion, eighty-eight million, eight hundred seventy-nine thousand, six hundred eighty".