63958421100 has 288 divisors, whose sum is σ = 219049868800. Its totient is φ = 14399320320.

The previous prime is 63958421089. The next prime is 63958421101. The reversal of 63958421100 is 112485936.

It is not an unprimeable number, because it can be changed into a prime (63958421101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6889662 + ... + 6898938.

Almost surely, 2^63958421100 is an apocalyptic number.

63958421100 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 63958421100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109524934400).

63958421100 is an abundant number, since it is smaller than the sum of its proper divisors (155091447700).

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

63958421100 is a wasteful number, since it uses less digits than its factorization.

63958421100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9382 (or 9361 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The spelling of 63958421100 in words is "sixty-three billion, nine hundred fifty-eight million, four hundred twenty-one thousand, one hundred".