6121628695000 has 480 divisors, whose sum is σ = 17791992614880. Its totient is φ = 1932802560000.

The previous prime is 6121628694977. The next prime is 6121628695001. The reversal of 6121628695000 is 5968261216.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6121628695001) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 3200014044 + ... + 3200015956.

It is an arithmetic number, because the mean of its divisors is an integer number (37066651281).

Almost surely, 2^{6121628695000} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6121628695000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8895996307440).

6121628695000 is an abundant number, since it is smaller than the sum of its proper divisors (11670363919880).

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

6121628695000 is a wasteful number, since it uses less digits than its factorization.

6121628695000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2513 (or 2481 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 46.

The spelling of 6121628695000 in words is "six trillion, one hundred twenty-one billion, six hundred twenty-eight million, six hundred ninety-five thousand".