128629971993600 has 2640 divisors, whose sum is σ = 628775127066240. Its totient is φ = 25155521740800.

The previous prime is 128629971993599. The next prime is 128629971993637. The reversal of 128629971993600 is 6399179926821.

128629971993600 is a `hidden beast` number, since 1 + 2 + 8 + 6 + 2 + 9 + 9 + 7 + 1 + 9 + 9 + 3 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (2640).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 2714318706 + ... + 2714366094.

It is an arithmetic number, because the mean of its divisors is an integer number (238172396616).

Almost surely, 2^{128629971993600} is an apocalyptic number.

128629971993600 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 128629971993600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314387563533120).

128629971993600 is an abundant number, since it is smaller than the sum of its proper divisors (500145155072640).

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

128629971993600 is a wasteful number, since it uses less digits than its factorization.

128629971993600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47466 (or 47434 counting only the distinct ones).

The product of its (nonzero) digits is 158723712, while the sum is 72.

The spelling of 128629971993600 in words is "one hundred twenty-eight trillion, six hundred twenty-nine billion, nine hundred seventy-one million, nine hundred ninety-three thousand, six hundred".