53627463106560 has 2560 divisors, whose sum is σ = 241530846796800. Its totient is φ = 11099260846080.

The previous prime is 53627463106531. The next prime is 53627463106561. The reversal of 53627463106560 is 6560136472635.

53627463106560 is a `hidden beast` number, since 5 + 3 + 6 + 2 + 7 + 4 + 63 + 10 + 6 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (2560).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 53627463106497 and 53627463106506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53627463106561) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 40596110700 + ... + 40596112020.

It is an arithmetic number, because the mean of its divisors is an integer number (94347987030).

Almost surely, 2^{53627463106560} 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 53627463106560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120765423398400).

53627463106560 is an abundant number, since it is smaller than the sum of its proper divisors (187903383690240).

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

53627463106560 is a wasteful number, since it uses less digits than its factorization.

53627463106560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1417 (or 1380 counting only the distinct ones).

The product of its (nonzero) digits is 16329600, while the sum is 54.

The spelling of 53627463106560 in words is "fifty-three trillion, six hundred twenty-seven billion, four hundred sixty-three million, one hundred six thousand, five hundred sixty".