13261668710400 has 2304 divisors, whose sum is σ = 55278961920000. Its totient is φ = 3088318464000.

The previous prime is 13261668710377. The next prime is 13261668710467. The reversal of 13261668710400 is 401786616231.

13261668710400 is a `hidden beast` number, since 1 + 3 + 2 + 6 + 166 + 87 + 1 + 0 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 55488153481 + ... + 55488153719.

It is an arithmetic number, because the mean of its divisors is an integer number (23992605000).

Almost surely, 2^{13261668710400} is an apocalyptic number.

13261668710400 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 13261668710400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27639480960000).

13261668710400 is an abundant number, since it is smaller than the sum of its proper divisors (42017293209600).

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

13261668710400 is a wasteful number, since it uses less digits than its factorization.

13261668710400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 421 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 13261668710400 in words is "thirteen trillion, two hundred sixty-one billion, six hundred sixty-eight million, seven hundred ten thousand, four hundred".