63852088104 has 320 divisors, whose sum is σ = 216406080000. Its totient is φ = 17182564992.

The previous prime is 63852088103. The next prime is 63852088117. The reversal of 63852088104 is 40188025836.

63852088104 is a `hidden beast` number, since 6 + 38 + 520 + 88 + 10 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 63852088104.

It is not an unprimeable number, because it can be changed into a prime (63852088103) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 15424867 + ... + 15429005.

It is an arithmetic number, because the mean of its divisors is an integer number (676269000).

Almost surely, 2^63852088104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 63852088104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108203040000).

63852088104 is an abundant number, since it is smaller than the sum of its proper divisors (152553991896).

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

63852088104 is a wasteful number, since it uses less digits than its factorization.

63852088104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4362 (or 4349 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 63852088104 in words is "sixty-three billion, eight hundred fifty-two million, eighty-eight thousand, one hundred four".