51253236648 has 160 divisors (see below), whose sum is σ = 147121286400. Its totient is φ = 16661417472.

The previous prime is 51253236637. The next prime is 51253236667. The reversal of 51253236648 is 84663235215.

51253236648 is a `hidden beast` number, since 5 + 12 + 532 + 3 + 66 + 48 = 666.

Its product of digits (1036800) is a multiple of the sum of its prime divisors (2880).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 28113865 + ... + 28115687.

It is an arithmetic number, because the mean of its divisors is an integer number (919508040).

Almost surely, 2^51253236648 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 51253236648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73560643200).

51253236648 is an abundant number, since it is smaller than the sum of its proper divisors (95868049752).

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

51253236648 is a wasteful number, since it uses less digits than its factorization.

51253236648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2893 (or 2880 counting only the distinct ones).

The product of its digits is 1036800, while the sum is 45.

The spelling of 51253236648 in words is "fifty-one billion, two hundred fifty-three million, two hundred thirty-six thousand, six hundred forty-eight".