13178223072 has 720 divisors, whose sum is σ = 48943319040. Its totient is φ = 3456649728.

The previous prime is 13178223049. The next prime is 13178223089. The reversal of 13178223072 is 27032287131.

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 polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 103765473 + ... + 103765599.

It is an arithmetic number, because the mean of its divisors is an integer number (67976832).

Almost surely, 2^13178223072 is an apocalyptic number.

13178223072 is a gapful number since it is divisible by the number (12) 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 13178223072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24471659520).

13178223072 is an abundant number, since it is smaller than the sum of its proper divisors (35765095968).

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

13178223072 is a wasteful number, since it uses less digits than its factorization.

13178223072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The spelling of 13178223072 in words is "thirteen billion, one hundred seventy-eight million, two hundred twenty-three thousand, seventy-two".