51264656352 has 1344 divisors, whose sum is σ = 207304151040. Its totient is φ = 12093235200.

The previous prime is 51264656309. The next prime is 51264656411. The reversal of 51264656352 is 25365646215.

51264656352 is a `hidden beast` number, since 5 + 1 + 2 + 6 + 4 + 6 + 5 + 635 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 51264656298 and 51264656307.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 1250357452 + ... + 1250357492.

It is an arithmetic number, because the mean of its divisors is an integer number (154244160).

Almost surely, 2^51264656352 is an apocalyptic number.

51264656352 is a gapful number since it is divisible by the number (52) 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 51264656352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103652075520).

51264656352 is an abundant number, since it is smaller than the sum of its proper divisors (156039494688).

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

51264656352 is a wasteful number, since it uses less digits than its factorization.

51264656352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 116 counting only the distinct ones).

The product of its digits is 1296000, while the sum is 45.

The spelling of 51264656352 in words is "fifty-one billion, two hundred sixty-four million, six hundred fifty-six thousand, three hundred fifty-two".