1359778220640 has 1920 divisors, whose sum is σ = 5948281785600. Its totient is φ = 285937827840.

The previous prime is 1359778220617. The next prime is 1359778220659. The reversal of 1359778220640 is 460228779531.

It is a happy number.

1359778220640 is a `hidden beast` number, since 1 + 3 + 597 + 7 + 8 + 2 + 2 + 0 + 6 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 5937896046 + ... + 5937896274.

It is an arithmetic number, because the mean of its divisors is an integer number (3098063430).

It is a 1-persistent number, because it is pandigital, but 2⋅1359778220640 = 2719556441280 is not.

Almost surely, 2^{1359778220640} is an apocalyptic number.

1359778220640 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 1359778220640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2974140892800).

1359778220640 is an abundant number, since it is smaller than the sum of its proper divisors (4588503564960).

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

1359778220640 is a wasteful number, since it uses less digits than its factorization.

1359778220640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 1359778220640 in words is "one trillion, three hundred fifty-nine billion, seven hundred seventy-eight million, two hundred twenty thousand, six hundred forty".