51652048896 has 288 divisors, whose sum is σ = 176818561920. Its totient is φ = 14756732928.

The previous prime is 51652048883. The next prime is 51652048897. The reversal of 51652048896 is 69884025615.

51652048896 is a `hidden beast` number, since 51 + 6 + 5 + 20 + 488 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 (51652048897) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3476235 + ... + 3491061.

It is an arithmetic number, because the mean of its divisors is an integer number (613953340).

Almost surely, 2^51652048896 is an apocalyptic number.

51652048896 is a gapful number since it is divisible by the number (56) 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 51652048896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88409280960).

51652048896 is an abundant number, since it is smaller than the sum of its proper divisors (125166513024).

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

51652048896 is an equidigital number, since it uses as much as digits as its factorization.

51652048896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14871 (or 14839 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 54.

The spelling of 51652048896 in words is "fifty-one billion, six hundred fifty-two million, forty-eight thousand, eight hundred ninety-six".