13035878856 has 1008 divisors, whose sum is σ = 52202007900. Its totient is φ = 3017710080.

The previous prime is 13035878837. The next prime is 13035878879. The reversal of 13035878856 is 65887853031.

13035878856 is a `hidden beast` number, since 1 + 3 + 0 + 3 + 587 + 8 + 8 + 56 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 12603654756 + 432224100 = 112266^2 + 20790^2 .

It is a super-4 number, since 4×13035878856⁴ (a number of 42 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 251 ways as a sum of consecutive naturals, for example, 449513050 + ... + 449513078.

Almost surely, 2^13035878856 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 13035878856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26101003950).

13035878856 is an abundant number, since it is smaller than the sum of its proper divisors (39166129044).

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

13035878856 is a wasteful number, since it uses less digits than its factorization.

13035878856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 13035878856 in words is "thirteen billion, thirty-five million, eight hundred seventy-eight thousand, eight hundred fifty-six".