1368759603600 has 1215 divisors, whose sum is σ = 5358564485001. Its totient is φ = 323465011200.

The previous prime is 1368759603587. The next prime is 1368759603619. The reversal of 1368759603600 is 63069578631.

The square root of 1368759603600 is 1169940.

It is a perfect power (a square), and thus also a powerful number.

1368759603600 is a `hidden beast` number, since 13 + 6 + 8 + 7 + 596 + 0 + 36 + 0 + 0 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 42319072656 + 1326440530944 = 205716^2 + 1151712^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 36993502782 + ... + 36993502818.

Almost surely, 2^{1368759603600} is an apocalyptic number.

1368759603600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1368759603600 is the 1169940-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1368759603600

1368759603600 is an abundant number, since it is smaller than the sum of its proper divisors (3989804881401).

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

1368759603600 is a wasteful number, since it uses less digits than its factorization.

1368759603600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 1368759603600 in words is "one trillion, three hundred sixty-eight billion, seven hundred fifty-nine million, six hundred three thousand, six hundred".