1300252262400 has 3264 divisors, whose sum is σ = 6553130572800. Its totient is φ = 244611809280.

The previous prime is 1300252262389. The next prime is 1300252262431. The reversal of 1300252262400 is 42622520031.

It is a happy number.

1300252262400 is a `hidden beast` number, since 1 + 3 + 0 + 0 + 252 + 2 + 6 + 2 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (3264).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 68434329591 + ... + 68434329609.

Almost surely, 2^{1300252262400} is an apocalyptic number.

1300252262400 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 1300252262400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3276565286400).

1300252262400 is an abundant number, since it is smaller than the sum of its proper divisors (5252878310400).

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

1300252262400 is a wasteful number, since it uses less digits than its factorization.

1300252262400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 1300252262400 its reverse (42622520031), we get a palindrome (1342874782431).

The spelling of 1300252262400 in words is "one trillion, three hundred billion, two hundred fifty-two million, two hundred sixty-two thousand, four hundred".