63086100480 has 512 divisors, whose sum is σ = 241776964800. Its totient is φ = 15514730496.

The previous prime is 63086100431. The next prime is 63086100481. The reversal of 63086100480 is 8400168036.

It is a happy number.

63086100480 is a `hidden beast` number, since 6 + 30 + 8 + 610 + 0 + 4 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (512).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63086100481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57507292 + ... + 57508388.

Almost surely, 2^63086100480 is an apocalyptic number.

63086100480 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 63086100480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120888482400).

63086100480 is an abundant number, since it is smaller than the sum of its proper divisors (178690864320).

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

63086100480 is a wasteful number, since it uses less digits than its factorization.

63086100480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1154 (or 1120 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 63086100480 in words is "sixty-three billion, eighty-six million, one hundred thousand, four hundred eighty".