1300071780000 has 1440 divisors, whose sum is σ = 5572166535936. Its totient is φ = 281014272000.

The previous prime is 1300071779983. The next prime is 1300071780017. The reversal of 1300071780000 is 871700031.

It is an interprime number because it is at equal distance from previous prime (1300071779983) and next prime (1300071780017).

It is a tau number, because it is divible by the number of its divisors (1440).

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 239 ways as a sum of consecutive naturals, for example, 3274739802 + ... + 3274740198.

Almost surely, 2^{1300071780000} is an apocalyptic number.

1300071780000 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 1300071780000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2786083267968).

1300071780000 is an abundant number, since it is smaller than the sum of its proper divisors (4272094755936).

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

1300071780000 is a wasteful number, since it uses less digits than its factorization.

1300071780000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 576 (or 550 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 27.

The spelling of 1300071780000 in words is "one trillion, three hundred billion, seventy-one million, seven hundred eighty thousand".