13226077536 has 192 divisors, whose sum is σ = 41943121920. Its totient is φ = 3564864000.

The previous prime is 13226077519. The next prime is 13226077547. The reversal of 13226077536 is 63577062231.

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 polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3202705 + ... + 3206831.

It is an arithmetic number, because the mean of its divisors is an integer number (218453760).

Almost surely, 2^13226077536 is an apocalyptic number.

13226077536 is a gapful number since it is divisible by the number (16) 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 13226077536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20971560960).

13226077536 is an abundant number, since it is smaller than the sum of its proper divisors (28717044384).

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

13226077536 is a wasteful number, since it uses less digits than its factorization.

13226077536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4417 (or 4409 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 42.

The spelling of 13226077536 in words is "thirteen billion, two hundred twenty-six million, seventy-seven thousand, five hundred thirty-six".