1365485781000 has 1024 divisors, whose sum is σ = 5192656035840. Its totient is φ = 294666240000.

The previous prime is 1365485780999. The next prime is 1365485781071. The reversal of 1365485781000 is 1875845631.

It is a super-2 number, since 2×1365485781000² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1251590455 + ... + 1251591545.

It is an arithmetic number, because the mean of its divisors is an integer number (5070953160).

Almost surely, 2^{1365485781000} is an apocalyptic number.

1365485781000 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 1365485781000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2596328017920).

1365485781000 is an abundant number, since it is smaller than the sum of its proper divisors (3827170254840).

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

1365485781000 is a wasteful number, since it uses less digits than its factorization.

1365485781000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1263 (or 1249 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 48.

The spelling of 1365485781000 in words is "one trillion, three hundred sixty-five billion, four hundred eighty-five million, seven hundred eighty-one thousand".