53562342113280 has 3696 divisors, whose sum is σ = 263399745372624. Its totient is φ = 10273695989760.

The previous prime is 53562342113251. The next prime is 53562342113281. The reversal of 53562342113280 is 8231124326535.

53562342113280 is a `hidden beast` number, since 5 + 3 + 5 + 623 + 4 + 2 + 1 + 13 + 2 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3696).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53562342113281) by changing a digit.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 4120180162554 + ... + 4120180162566.

Almost surely, 2^{53562342113280} 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 53562342113280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131699872686312).

53562342113280 is an abundant number, since it is smaller than the sum of its proper divisors (209837403259344).

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

53562342113280 is an frugal number, since it uses more digits than its factorization.

53562342113280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 53562342113280 in words is "fifty-three trillion, five hundred sixty-two billion, three hundred forty-two million, one hundred thirteen thousand, two hundred eighty".