128987197416 has 1296 divisors, whose sum is σ = 504654433920. Its totient is φ = 30715977600.

The previous prime is 128987197403. The next prime is 128987197421. The reversal of 128987197416 is 614791789821.

128987197416 is a `hidden beast` number, since 1 + 28 + 9 + 8 + 7 + 197 + 416 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

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

It is a nude number because it is divisible by every one of its digits.

Its product of digits (12192768) is a multiple of the sum of its prime factors (126).

It is a zygodrome in base 3.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 323 ways as a sum of consecutive naturals, for example, 4160877321 + ... + 4160877351.

Almost surely, 2^128987197416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 128987197416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252327216960).

128987197416 is an abundant number, since it is smaller than the sum of its proper divisors (375667236504).

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

128987197416 is a wasteful number, since it uses less digits than its factorization.

128987197416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 73 counting only the distinct ones).

The product of its digits is 12192768, while the sum is 63.

The spelling of 128987197416 in words is "one hundred twenty-eight billion, nine hundred eighty-seven million, one hundred ninety-seven thousand, four hundred sixteen".