1300167590400 has 960 divisors, whose sum is σ = 5523846451200. Its totient is φ = 293376245760.

The previous prime is 1300167590389. The next prime is 1300167590417. The reversal of 1300167590400 is 40957610031.

1300167590400 is a `hidden beast` number, since 1 + 3 + 0 + 0 + 1 + 67 + 590 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 191113399 + ... + 191120201.

It is an arithmetic number, because the mean of its divisors is an integer number (5754006720).

Almost surely, 2^{1300167590400} is an apocalyptic number.

1300167590400 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 1300167590400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2761923225600).

1300167590400 is an abundant number, since it is smaller than the sum of its proper divisors (4223678860800).

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

1300167590400 is an equidigital number, since it uses as much as digits as its factorization.

1300167590400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6926 (or 6899 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The spelling of 1300167590400 in words is "one trillion, three hundred billion, one hundred sixty-seven million, five hundred ninety thousand, four hundred".