53601859563840 has 1680 divisors, whose sum is σ = 237921433833600. Its totient is φ = 11206380036096.

The previous prime is 53601859563829. The next prime is 53601859563881. The reversal of 53601859563840 is 4836595810635.

It is a happy number.

53601859563840 is a `hidden beast` number, since 5 + 3 + 6 + 0 + 1 + 8 + 595 + 6 + 38 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

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 239 ways as a sum of consecutive naturals, for example, 1899481251 + ... + 1899509469.

Almost surely, 2^{53601859563840} 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 53601859563840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118960716916800).

53601859563840 is an abundant number, since it is smaller than the sum of its proper divisors (184319574269760).

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

53601859563840 is a wasteful number, since it uses less digits than its factorization.

53601859563840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28322 (or 28284 counting only the distinct ones).

The product of its (nonzero) digits is 93312000, while the sum is 63.

The spelling of 53601859563840 in words is "fifty-three trillion, six hundred one billion, eight hundred fifty-nine million, five hundred sixty-three thousand, eight hundred forty".