1355560315600 has 120 divisors (see below), whose sum is σ = 3278338140440. Its totient is φ = 538638336000.

The previous prime is 1355560315597. The next prime is 1355560315601. The reversal of 1355560315600 is 65130655531.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 200141706384 + 1155418609216 = 447372^2 + 1074904^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1355560315601) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39410410 + ... + 39444790.

Almost surely, 2^{1355560315600} is an apocalyptic number.

1355560315600 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 1355560315600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1639169070220).

1355560315600 is an abundant number, since it is smaller than the sum of its proper divisors (1922777824840).

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

1355560315600 is a wasteful number, since it uses less digits than its factorization.

1355560315600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35049 (or 35038 counting only the distinct ones).

The product of its (nonzero) digits is 202500, while the sum is 40.

The spelling of 1355560315600 in words is "one trillion, three hundred fifty-five billion, five hundred sixty million, three hundred fifteen thousand, six hundred".