53290098144 has 288 divisors, whose sum is σ = 161478180864. Its totient is φ = 16643128320.

The previous prime is 53290098137. The next prime is 53290098149. The reversal of 53290098144 is 44189009235.

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

It is a super-3 number, since 3×53290098144³ (a number of 33 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 53290098144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53290098149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 48755262 + ... + 48756354.

It is an arithmetic number, because the mean of its divisors is an integer number (560688128).

Almost surely, 2^53290098144 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 53290098144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80739090432).

53290098144 is an abundant number, since it is smaller than the sum of its proper divisors (108188082720).

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

53290098144 is a wasteful number, since it uses less digits than its factorization.

53290098144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1310 (or 1299 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 53290098144 in words is "fifty-three billion, two hundred ninety million, ninety-eight thousand, one hundred forty-four".