53827498647552 has 896 divisors, whose sum is σ = 187293266012160. Its totient is φ = 13377774551040.

The previous prime is 53827498647451. The next prime is 53827498647613. The reversal of 53827498647552 is 25574689472835.

It is a tau number, because it is divible by the number of its divisors (896).

It is a super-2 number, since 2×53827498647552² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2278207963 + ... + 2278231589.

It is an arithmetic number, because the mean of its divisors is an integer number (209032662960).

Almost surely, 2^{53827498647552} 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 53827498647552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93646633006080).

53827498647552 is an abundant number, since it is smaller than the sum of its proper divisors (133465767364608).

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

53827498647552 is a wasteful number, since it uses less digits than its factorization.

53827498647552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23740 (or 23716 counting only the distinct ones).

The product of its digits is 4064256000, while the sum is 75.

The spelling of 53827498647552 in words is "fifty-three trillion, eight hundred twenty-seven billion, four hundred ninety-eight million, six hundred forty-seven thousand, five hundred fifty-two".