13671615513600 has 1584 divisors, whose sum is σ = 54655495824384. Its totient is φ = 3237470208000.

The previous prime is 13671615513581. The next prime is 13671615513691. The reversal of 13671615513600 is 631551617631.

13671615513600 is a `hidden beast` number, since 1 + 3 + 6 + 7 + 1 + 61 + 551 + 36 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1584).

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 21666585285 + ... + 21666585915.

Almost surely, 2^{13671615513600} is an apocalyptic number.

13671615513600 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 13671615513600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27327747912192).

13671615513600 is an abundant number, since it is smaller than the sum of its proper divisors (40983880310784).

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

13671615513600 is a wasteful number, since it uses less digits than its factorization.

13671615513600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 864 (or 838 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 45.

The spelling of 13671615513600 in words is "thirteen trillion, six hundred seventy-one billion, six hundred fifteen million, five hundred thirteen thousand, six hundred".