13990861209600 has 1260 divisors, whose sum is σ = 56638176487200. Its totient is φ = 3386061619200.

The previous prime is 13990861209553. The next prime is 13990861209601. The reversal of 13990861209600 is 690216809931.

13990861209600 is a `hidden beast` number, since 1 + 3 + 9 + 9 + 0 + 8 + 6 + 1 + 20 + 9 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13990861209601) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 23357030101 + ... + 23357030699.

It is an arithmetic number, because the mean of its divisors is an integer number (44950933720).

Almost surely, 2^{13990861209600} is an apocalyptic number.

13990861209600 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 13990861209600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28319088243600).

13990861209600 is an abundant number, since it is smaller than the sum of its proper divisors (42647315277600).

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

13990861209600 is an frugal number, since it uses more digits than its factorization.

13990861209600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 672 (or 620 counting only the distinct ones).

The product of its (nonzero) digits is 1259712, while the sum is 54.

The spelling of 13990861209600 in words is "thirteen trillion, nine hundred ninety billion, eight hundred sixty-one million, two hundred nine thousand, six hundred".