53631345686688 has 960 divisors, whose sum is σ = 207135619891200. Its totient is φ = 13480781529600.

The previous prime is 53631345686687. The next prime is 53631345686689. The reversal of 53631345686688 is 88668654313635.

53631345686688 is a `hidden beast` number, since 5 + 3 + 6 + 3 + 13 + 456 + 86 + 6 + 88 = 666.

It is an interprime number because it is at equal distance from previous prime (53631345686687) and next prime (53631345686689).

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

It is not an unprimeable number, because it can be changed into a prime (53631345686687) 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, 303079645 + ... + 303256547.

It is an arithmetic number, because the mean of its divisors is an integer number (215766270720).

Almost surely, 2^{53631345686688} 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 53631345686688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103567809945600).

53631345686688 is an abundant number, since it is smaller than the sum of its proper divisors (153504274204512).

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

53631345686688 is a wasteful number, since it uses less digits than its factorization.

53631345686688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176988 (or 176957 counting only the distinct ones).

The product of its digits is 1791590400, while the sum is 72.

The spelling of 53631345686688 in words is "fifty-three trillion, six hundred thirty-one billion, three hundred forty-five million, six hundred eighty-six thousand, six hundred eighty-eight".