13421878008 has 256 divisors, whose sum is σ = 44181504000. Its totient is φ = 3291840000.

The previous prime is 13421877967. The next prime is 13421878037. The reversal of 13421878008 is 80087812431.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17871633 + ... + 17872383.

It is an arithmetic number, because the mean of its divisors is an integer number (172584000).

Almost surely, 2^13421878008 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 13421878008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22090752000).

13421878008 is an abundant number, since it is smaller than the sum of its proper divisors (30759625992).

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

13421878008 is a wasteful number, since it uses less digits than its factorization.

13421878008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1306 (or 1302 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 42.

It can be divided in two parts, 134218 and 78008, that added together give a triangular number (212226 = T₆₅₁).

The spelling of 13421878008 in words is "thirteen billion, four hundred twenty-one million, eight hundred seventy-eight thousand, eight".