13234607878560 has 384 divisors, whose sum is σ = 42319762619904. Its totient is φ = 3476229980160.

The previous prime is 13234607878529. The next prime is 13234607878577. The reversal of 13234607878560 is 6587870643231.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 13234607878494 and 13234607878503.

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, 13887311044 + ... + 13887311996.

It is an arithmetic number, because the mean of its divisors is an integer number (110207715156).

Almost surely, 2^{13234607878560} is an apocalyptic number.

13234607878560 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 13234607878560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21159881309952).

13234607878560 is an abundant number, since it is smaller than the sum of its proper divisors (29085154741344).

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

13234607878560 is a wasteful number, since it uses less digits than its factorization.

13234607878560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2176 (or 2168 counting only the distinct ones).

The product of its (nonzero) digits is 40642560, while the sum is 60.

The spelling of 13234607878560 in words is "thirteen trillion, two hundred thirty-four billion, six hundred seven million, eight hundred seventy-eight thousand, five hundred sixty".