1195378745600 has 432 divisors, whose sum is σ = 3381310113552. Its totient is φ = 414481121280.

The previous prime is 1195378745591. The next prime is 1195378745609. The reversal of 1195378745600 is 65478735911.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1195378745591) and next prime (1195378745609).

It can be written as a sum of positive squares in 24 ways, for example, as 276019941376 + 919358804224 = 525376^2 + 958832^2 .

It is not an unprimeable number, because it can be changed into a prime (1195378745609) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1036754624 + ... + 1036755776.

Almost surely, 2^{1195378745600} is an apocalyptic number.

1195378745600 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 1195378745600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1690655056776).

1195378745600 is an abundant number, since it is smaller than the sum of its proper divisors (2185931367952).

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

1195378745600 is a wasteful number, since it uses less digits than its factorization.

1195378745600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1942 (or 1923 counting only the distinct ones).

The product of its (nonzero) digits is 6350400, while the sum is 56.

The spelling of 1195378745600 in words is "one trillion, one hundred ninety-five billion, three hundred seventy-eight million, seven hundred forty-five thousand, six hundred".