13355867424000 has 2304 divisors, whose sum is σ = 50233293766656. Its totient is φ = 3133734912000.

The previous prime is 13355867423999. The next prime is 13355867424049. The reversal of 13355867424000 is 42476855331.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 182957087964 + ... + 182957088036.

It is an arithmetic number, because the mean of its divisors is an integer number (21802644864).

Almost surely, 2^{13355867424000} is an apocalyptic number.

13355867424000 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 13355867424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25116646883328).

13355867424000 is an abundant number, since it is smaller than the sum of its proper divisors (36877426342656).

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

13355867424000 is a wasteful number, since it uses less digits than its factorization.

13355867424000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 48.

The spelling of 13355867424000 in words is "thirteen trillion, three hundred fifty-five billion, eight hundred sixty-seven million, four hundred twenty-four thousand".