53586406656 has 216 divisors, whose sum is σ = 169653504384. Its totient is φ = 16811089920.

The previous prime is 53586406649. The next prime is 53586406697. The reversal of 53586406656 is 65660468535.

53586406656 is a `hidden beast` number, since 5 + 3 + 586 + 4 + 0 + 6 + 6 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

It is a super-2 number, since 2×53586406656² (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1032201 + ... + 1082871.

Almost surely, 2^53586406656 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 53586406656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84826752192).

53586406656 is an abundant number, since it is smaller than the sum of its proper divisors (116067097728).

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

53586406656 is an equidigital number, since it uses as much as digits as its factorization.

53586406656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50719 (or 50693 counting only the distinct ones).

The product of its (nonzero) digits is 15552000, while the sum is 54.

The spelling of 53586406656 in words is "fifty-three billion, five hundred eighty-six million, four hundred six thousand, six hundred fifty-six".