1352535386000 has 160 divisors (see below), whose sum is σ = 3317966136576. Its totient is φ = 533162880000.

The previous prime is 1352535385973. The next prime is 1352535386039. The reversal of 1352535386000 is 6835352531.

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, 220602935 + ... + 220609065.

Almost surely, 2^{1352535386000} is an apocalyptic number.

1352535386000 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 1352535386000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1658983068288).

1352535386000 is an abundant number, since it is smaller than the sum of its proper divisors (1965430750576).

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

1352535386000 is a wasteful number, since it uses less digits than its factorization.

1352535386000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7738 (or 7722 counting only the distinct ones).

The product of its (nonzero) digits is 324000, while the sum is 41.

The spelling of 1352535386000 in words is "one trillion, three hundred fifty-two billion, five hundred thirty-five million, three hundred eighty-six thousand".