1364897585920 has 288 divisors, whose sum is σ = 3688236115200. Its totient is φ = 479676088320.

The previous prime is 1364897585903. The next prime is 1364897585941. The reversal of 1364897585920 is 295857984631.

It is a Harshad number since it is a multiple of its sum of digits (67).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49984431 + ... + 50011729.

It is an arithmetic number, because the mean of its divisors is an integer number (12806375400).

It is a 1-persistent number, because it is pandigital, but 2⋅1364897585920 = 2729795171840 is not.

Almost surely, 2^{1364897585920} is an apocalyptic number.

1364897585920 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 1364897585920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1844118057600).

1364897585920 is an abundant number, since it is smaller than the sum of its proper divisors (2323338529280).

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

1364897585920 is a wasteful number, since it uses less digits than its factorization.

1364897585920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27451 (or 27437 counting only the distinct ones).

The product of its (nonzero) digits is 130636800, while the sum is 67.

The spelling of 1364897585920 in words is "one trillion, three hundred sixty-four billion, eight hundred ninety-seven million, five hundred eighty-five thousand, nine hundred twenty".