13660198020000 has 2400 divisors, whose sum is σ = 61829418752640. Its totient is φ = 2886451200000.

The previous prime is 13660198019987. The next prime is 13660198020031. The reversal of 13660198020000 is 2089106631.

13660198020000 is a `hidden beast` number, since 1 + 366 + 0 + 1 + 98 + 0 + 200 + 0 + 0 = 666.

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

It is a super-2 number, since 2×13660198020000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 399 ways as a sum of consecutive naturals, for example, 11374019400 + ... + 11374020600.

Almost surely, 2^{13660198020000} is an apocalyptic number.

13660198020000 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 13660198020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30914709376320).

13660198020000 is an abundant number, since it is smaller than the sum of its proper divisors (48169220732640).

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

13660198020000 is a wasteful number, since it uses less digits than its factorization.

13660198020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1326 (or 1294 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 13660198020000 in words is "thirteen trillion, six hundred sixty billion, one hundred ninety-eight million, twenty thousand".