6451121020700 has 144 divisors (see below), whose sum is σ = 15609329376480. Its totient is φ = 2299829944320.

The previous prime is 6451121020667. The next prime is 6451121020709. The reversal of 6451121020700 is 70201211546.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6451121020709) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 76088732 + ... + 76173468.

It is an arithmetic number, because the mean of its divisors is an integer number (108398120670).

Almost surely, 2^{6451121020700} 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 6451121020700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7804664688240).

6451121020700 is an abundant number, since it is smaller than the sum of its proper divisors (9158208355780).

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

6451121020700 is a wasteful number, since it uses less digits than its factorization.

6451121020700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87144 (or 87137 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 29.

The spelling of 6451121020700 in words is "six trillion, four hundred fifty-one billion, one hundred twenty-one million, twenty thousand, seven hundred".