1352885164800 has 216 divisors, whose sum is σ = 4808250158544. Its totient is φ = 333017825280.

The previous prime is 1352885164769. The next prime is 1352885164819. The reversal of 1352885164800 is 84615882531.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2460507 + ... + 2959706.

Almost surely, 2^{1352885164800} is an apocalyptic number.

1352885164800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1352885164800 is an abundant number, since it is smaller than the sum of its proper divisors (3455364993744).

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

1352885164800 is a wasteful number, since it uses less digits than its factorization.

1352885164800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5420255 (or 5420236 counting only the distinct ones).

The product of its (nonzero) digits is 1843200, while the sum is 51.

The spelling of 1352885164800 in words is "one trillion, three hundred fifty-two billion, eight hundred eighty-five million, one hundred sixty-four thousand, eight hundred".