1356282711000 has 640 divisors, whose sum is σ = 5528931408000. Its totient is φ = 310001126400.

The previous prime is 1356282710999. The next prime is 1356282711037. The reversal of 1356282711000 is 1172826531.

1356282711000 is a `hidden beast` number, since 1 + 3 + 5 + 628 + 27 + 1 + 1 + 0 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 27758592 + ... + 27807408.

It is an arithmetic number, because the mean of its divisors is an integer number (8638955325).

Almost surely, 2^{1356282711000} is an apocalyptic number.

1356282711000 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 1356282711000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2764465704000).

1356282711000 is an abundant number, since it is smaller than the sum of its proper divisors (4172648697000).

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

1356282711000 is an equidigital number, since it uses as much as digits as its factorization.

1356282711000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48871 (or 48834 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 1356282711000 in words is "one trillion, three hundred fifty-six billion, two hundred eighty-two million, seven hundred eleven thousand".