13566670041600 has 2400 divisors, whose sum is σ = 57091254675840. Its totient is φ = 3156702658560.

The previous prime is 13566670041583. The next prime is 13566670041629. The reversal of 13566670041600 is 614007666531.

It is a tau number, because it is divible by the number of its divisors (2400).

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 239 ways as a sum of consecutive naturals, for example, 33170342196 + ... + 33170342604.

Almost surely, 2^{13566670041600} is an apocalyptic number.

13566670041600 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 13566670041600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28545627337920).

13566670041600 is an abundant number, since it is smaller than the sum of its proper divisors (43524584634240).

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

13566670041600 is a wasteful number, since it uses less digits than its factorization.

13566670041600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 592 (or 562 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 13566670041600 in words is "thirteen trillion, five hundred sixty-six billion, six hundred seventy million, forty-one thousand, six hundred".