53561163004440 has 1536 divisors, whose sum is σ = 216589888327680. Its totient is φ = 10308827086848.

The previous prime is 53561163004429. The next prime is 53561163004507. The reversal of 53561163004440 is 4440036116535.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 53561163004392 and 53561163004401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 37015315797 + ... + 37015317243.

It is an arithmetic number, because the mean of its divisors is an integer number (141009041880).

Almost surely, 2^{53561163004440} 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 53561163004440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108294944163840).

53561163004440 is an abundant number, since it is smaller than the sum of its proper divisors (163028725323240).

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

53561163004440 is a wasteful number, since it uses less digits than its factorization.

53561163004440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1869 (or 1848 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 42.

The spelling of 53561163004440 in words is "fifty-three trillion, five hundred sixty-one billion, one hundred sixty-three million, four thousand, four hundred forty".