51842025648 has 400 divisors, whose sum is σ = 177862457344. Its totient is φ = 14265538560.

The previous prime is 51842025647. The next prime is 51842025649. The reversal of 51842025648 is 84652024815.

51842025648 is a `hidden beast` number, since 5 + 1 + 84 + 2 + 0 + 2 + 564 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (51842025647) and next prime (51842025649).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (51842025647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 94774911 + ... + 94775457.

Almost surely, 2^51842025648 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 51842025648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88931228672).

51842025648 is an abundant number, since it is smaller than the sum of its proper divisors (126020431696).

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

51842025648 is a wasteful number, since it uses less digits than its factorization.

51842025648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 942 (or 927 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 45.

The spelling of 51842025648 in words is "fifty-one billion, eight hundred forty-two million, twenty-five thousand, six hundred forty-eight".