63388116288000 has 1920 divisors, whose sum is σ = 273032444805120. Its totient is φ = 13820144025600.

The previous prime is 63388116287983. The next prime is 63388116288053. The reversal of 63388116288000 is 88261188336.

63388116288000 is a `hidden beast` number, since 6 + 3 + 3 + 8 + 8 + 1 + 1 + 628 + 8 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 44420543287 + ... + 44420544713.

It is an arithmetic number, because the mean of its divisors is an integer number (142204398336).

Almost surely, 2^{63388116288000} is an apocalyptic number.

63388116288000 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 63388116288000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136516222402560).

63388116288000 is an abundant number, since it is smaller than the sum of its proper divisors (209644328517120).

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

63388116288000 is a wasteful number, since it uses less digits than its factorization.

63388116288000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1975 (or 1946 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The spelling of 63388116288000 in words is "sixty-three trillion, three hundred eighty-eight billion, one hundred sixteen million, two hundred eighty-eight thousand".