651281218560 has 792 divisors, whose sum is σ = 2739462369696. Its totient is φ = 142380564480.

The previous prime is 651281218547. The next prime is 651281218607. The reversal of 651281218560 is 65812182156.

651281218560 is a `hidden beast` number, since 6 + 5 + 1 + 2 + 81 + 2 + 1 + 8 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 51925890 + ... + 51938430.

Almost surely, 2^651281218560 is an apocalyptic number.

651281218560 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 651281218560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1369731184848).

651281218560 is an abundant number, since it is smaller than the sum of its proper divisors (2088181151136).

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

651281218560 is a wasteful number, since it uses less digits than its factorization.

651281218560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12609 (or 12581 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 45.

The spelling of 651281218560 in words is "six hundred fifty-one billion, two hundred eighty-one million, two hundred eighteen thousand, five hundred sixty".