6509628121200 has 120 divisors (see below), whose sum is σ = 20853287554176. Its totient is φ = 1735836000000.

The previous prime is 6509628121181. The next prime is 6509628121211. The reversal of 6509628121200 is 21218269056.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

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, 38015775 + ... + 38186625.

Almost surely, 2^{6509628121200} is an apocalyptic number.

6509628121200 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6509628121200 is an abundant number, since it is smaller than the sum of its proper divisors (14343659432976).

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

6509628121200 is a wasteful number, since it uses less digits than its factorization.

6509628121200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202623 (or 202612 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 42.

The spelling of 6509628121200 in words is "six trillion, five hundred nine billion, six hundred twenty-eight million, one hundred twenty-one thousand, two hundred".