53328533440 has 224 divisors, whose sum is σ = 156592243584. Its totient is φ = 16845373440.

The previous prime is 53328533387. The next prime is 53328533497. The reversal of 53328533440 is 4433582335.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×53328533440² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 53328533393 and 53328533402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18664492 + ... + 18667348.

It is an arithmetic number, because the mean of its divisors is an integer number (699072516).

Almost surely, 2^53328533440 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 53328533440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78296121792).

53328533440 is an abundant number, since it is smaller than the sum of its proper divisors (103263710144).

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

53328533440 is a wasteful number, since it uses less digits than its factorization.

53328533440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3535 (or 3525 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 40.

The spelling of 53328533440 in words is "fifty-three billion, three hundred twenty-eight million, five hundred thirty-three thousand, four hundred forty".