6512851605456 has 900 divisors, whose sum is σ = 23295095289312. Its totient is φ = 1720252919808.

The previous prime is 6512851605451. The next prime is 6512851605479. The reversal of 6512851605456 is 6545061582156.

6512851605456 is a `hidden beast` number, since 6 + 5 + 1 + 2 + 85 + 16 + 0 + 545 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6512851605451) by changing a digit.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 37646540986 + ... + 37646541158.

Almost surely, 2^{6512851605456} 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 6512851605456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11647547644656).

6512851605456 is an abundant number, since it is smaller than the sum of its proper divisors (16782243683856).

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

6512851605456 is a wasteful number, since it uses less digits than its factorization.

6512851605456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 490 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 8640000, while the sum is 54.

The spelling of 6512851605456 in words is "six trillion, five hundred twelve billion, eight hundred fifty-one million, six hundred five thousand, four hundred fifty-six".