13261507459200 has 6912 divisors, whose sum is σ = 70538685235200. Its totient is φ = 2299207680000.

The previous prime is 13261507459177. The next prime is 13261507459201. The reversal of 13261507459200 is 295470516231.

13261507459200 is a `hidden beast` number, since 1 + 3 + 2 + 6 + 1 + 50 + 7 + 4 + 592 + 0 + 0 = 666.

It is a hoax number, since the sum of its digits (45) 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 (45).

It is not an unprimeable number, because it can be changed into a prime (13261507459201) by changing a digit.

It is a polite number, since it can be written in 863 ways as a sum of consecutive naturals, for example, 186781795165 + ... + 186781795235.

It is an arithmetic number, because the mean of its divisors is an integer number (10205249600).

Almost surely, 2^{13261507459200} is an apocalyptic number.

13261507459200 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 13261507459200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35269342617600).

13261507459200 is an abundant number, since it is smaller than the sum of its proper divisors (57277177776000).

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

13261507459200 is a wasteful number, since it uses less digits than its factorization.

13261507459200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 13261507459200 in words is "thirteen trillion, two hundred sixty-one billion, five hundred seven million, four hundred fifty-nine thousand, two hundred".