16142787198720 has 2592 divisors, whose sum is σ = 75484292083200. Its totient is φ = 3225292701696.

The previous prime is 16142787198689. The next prime is 16142787198721. The reversal of 16142787198720 is 2789178724161.

16142787198720 is a `hidden beast` number, since 1 + 61 + 427 + 8 + 71 + 9 + 87 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2592).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16142787198721) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 6991244926 + ... + 6991247234.

Almost surely, 2^{16142787198720} is an apocalyptic number.

16142787198720 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 16142787198720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37742146041600).

16142787198720 is an abundant number, since it is smaller than the sum of its proper divisors (59341504884480).

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

16142787198720 is a wasteful number, since it uses less digits than its factorization.

16142787198720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2397 (or 2358 counting only the distinct ones).

The product of its (nonzero) digits is 18966528, while the sum is 63.

The spelling of 16142787198720 in words is "sixteen trillion, one hundred forty-two billion, seven hundred eighty-seven million, one hundred ninety-eight thousand, seven hundred twenty".