53855569347840 has 864 divisors, whose sum is σ = 218214971878176. Its totient is φ = 12139710382080.

The previous prime is 53855569347779. The next prime is 53855569347841. The reversal of 53855569347840 is 4874396555835.

53855569347840 is a `hidden beast` number, since 5 + 3 + 8 + 5 + 55 + 69 + 3 + 478 + 40 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 582620783616 + 53272948564224 = 763296^2 + 7298832^2 .

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53855569347841) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 93913180 + ... + 94484900.

It is an arithmetic number, because the mean of its divisors is an integer number (252563624859).

Almost surely, 2^{53855569347840} 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 53855569347840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109107485939088).

53855569347840 is an abundant number, since it is smaller than the sum of its proper divisors (164359402530336).

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

53855569347840 is a wasteful number, since it uses less digits than its factorization.

53855569347840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 571815 (or 571798 counting only the distinct ones).

The product of its (nonzero) digits is 2177280000, while the sum is 72.

The spelling of 53855569347840 in words is "fifty-three trillion, eight hundred fifty-five billion, five hundred sixty-nine million, three hundred forty-seven thousand, eight hundred forty".