13867367069820 has 144 divisors (see below), whose sum is σ = 42695158302720. Its totient is φ = 3360544767360.

The previous prime is 13867367069819. The next prime is 13867367069837. The reversal of 13867367069820 is 2896076376831.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19388689 + ... + 20091191.

It is an arithmetic number, because the mean of its divisors is an integer number (296494154880).

Almost surely, 2^{13867367069820} is an apocalyptic number.

13867367069820 is a gapful number since it is divisible by the number (10) 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 13867367069820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21347579151360).

13867367069820 is an abundant number, since it is smaller than the sum of its proper divisors (28827791232900).

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

13867367069820 is a wasteful number, since it uses less digits than its factorization.

13867367069820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 705256 (or 705243 counting only the distinct ones).

The product of its (nonzero) digits is 109734912, while the sum is 66.

The spelling of 13867367069820 in words is "thirteen trillion, eight hundred sixty-seven billion, three hundred sixty-seven million, sixty-nine thousand, eight hundred twenty".