13078469952 has 448 divisors, whose sum is σ = 41569355520. Its totient is φ = 4075868160.

The previous prime is 13078469947. The next prime is 13078469969. The reversal of 13078469952 is 25996487031.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 246763558 + ... + 246763610.

It is an arithmetic number, because the mean of its divisors is an integer number (92788740).

It is a 1-persistent number, because it is pandigital, but 2⋅13078469952 = 26156939904 is not.

Almost surely, 2^13078469952 is an apocalyptic number.

13078469952 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 13078469952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20784677760).

13078469952 is an abundant number, since it is smaller than the sum of its proper divisors (28490885568).

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

13078469952 is an frugal number, since it uses more digits than its factorization.

13078469952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 13078469952 in words is "thirteen billion, seventy-eight million, four hundred sixty-nine thousand, nine hundred fifty-two".