6451507825056 has 576 divisors, whose sum is σ = 22606853068800. Its totient is φ = 1704353384448.

The previous prime is 6451507824997. The next prime is 6451507825079. The reversal of 6451507825056 is 6505287051546.

6451507825056 is a `hidden beast` number, since 6 + 4 + 5 + 1 + 50 + 7 + 82 + 505 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 6451507824993 and 6451507825011.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 279722581 + ... + 279745643.

It is an arithmetic number, because the mean of its divisors is an integer number (39248008800).

Almost surely, 2^{6451507825056} 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 6451507825056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11303426534400).

6451507825056 is an abundant number, since it is smaller than the sum of its proper divisors (16155345243744).

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

6451507825056 is a wasteful number, since it uses less digits than its factorization.

6451507825056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23281 (or 23270 counting only the distinct ones).

The product of its (nonzero) digits is 10080000, while the sum is 54.

The spelling of 6451507825056 in words is "six trillion, four hundred fifty-one billion, five hundred seven million, eight hundred twenty-five thousand, fifty-six".