19999129039488 has 320 divisors, whose sum is σ = 63062861665320. Its totient is φ = 6269778984960.

The previous prime is 19999129039459. The next prime is 19999129039511. The reversal of 19999129039488 is 88493092199991.

19999129039488 is a `hidden beast` number, since 1 + 9 + 9 + 9 + 9 + 12 + 90 + 39 + 488 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 19889387901504 + 109741137984 = 4459752^2 + 331272^2 .

It is a Harshad number since it is a multiple of its sum of digits (81).

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 39 ways as a sum of consecutive naturals, for example, 252535258 + ... + 252614438.

Almost surely, 2^{19999129039488} is an apocalyptic number.

19999129039488 is a gapful number since it is divisible by the number (18) 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 19999129039488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31531430832660).

19999129039488 is an abundant number, since it is smaller than the sum of its proper divisors (43063732625832).

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

19999129039488 is a wasteful number, since it uses less digits than its factorization.

19999129039488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80657 (or 80636 counting only the distinct ones).

The product of its (nonzero) digits is 816293376, while the sum is 81.

The spelling of 19999129039488 in words is "nineteen trillion, nine hundred ninety-nine billion, one hundred twenty-nine million, thirty-nine thousand, four hundred eighty-eight".