63531122688000 has 2080 divisors, whose sum is σ = 273617329965408. Its totient is φ = 14495514624000.

The previous prime is 63531122687969. The next prime is 63531122688001. The reversal of 63531122688000 is 88622113536.

63531122688000 is a `hidden beast` number, since 6 + 3 + 531 + 12 + 26 + 8 + 80 + 0 + 0 = 666.

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

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63531122688001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3737124863992 + ... + 3737124864008.

Almost surely, 2^{63531122688000} is an apocalyptic number.

63531122688000 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 63531122688000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136808664982704).

63531122688000 is an abundant number, since it is smaller than the sum of its proper divisors (210086207277408).

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

63531122688000 is an frugal number, since it uses more digits than its factorization.

63531122688000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 63531122688000 in words is "sixty-three trillion, five hundred thirty-one billion, one hundred twenty-two million, six hundred eighty-eight thousand".