63086501016 has 768 divisors, whose sum is σ = 235602432000. Its totient is φ = 14750760960.

The previous prime is 63086500973. The next prime is 63086501029. The reversal of 63086501016 is 61010568036.

It is a happy number.

63086501016 is a `hidden beast` number, since 63 + 0 + 86 + 501 + 0 + 16 = 666.

It is a super-2 number, since 2×63086501016² (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 275486790 + ... + 275487018.

It is an arithmetic number, because the mean of its divisors is an integer number (306774000).

Almost surely, 2^63086501016 is an apocalyptic number.

63086501016 is a gapful number since it is divisible by the number (66) 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 63086501016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117801216000).

63086501016 is an abundant number, since it is smaller than the sum of its proper divisors (172515930984).

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

63086501016 is a wasteful number, since it uses less digits than its factorization.

63086501016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 63086501016 in words is "sixty-three billion, eighty-six million, five hundred one thousand, sixteen".