53705000680800 has 4608 divisors, whose sum is σ = 239600664576000. Its totient is φ = 10162497945600.

The previous prime is 53705000680711. The next prime is 53705000680871. The reversal of 53705000680800 is 808600050735.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 521407773549 + ... + 521407773651.

It is an arithmetic number, because the mean of its divisors is an integer number (51996672000).

Almost surely, 2^{53705000680800} is an apocalyptic number.

53705000680800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53705000680800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119800332288000).

53705000680800 is an abundant number, since it is smaller than the sum of its proper divisors (185895663895200).

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

53705000680800 is a wasteful number, since it uses less digits than its factorization.

53705000680800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 42.

The spelling of 53705000680800 in words is "fifty-three trillion, seven hundred five billion, six hundred eighty thousand, eight hundred".