128649901363200 has 1872 divisors, whose sum is σ = 549905130902400. Its totient is φ = 29202445762560.

The previous prime is 128649901363163. The next prime is 128649901363261. The reversal of 128649901363200 is 2363109946821.

128649901363200 is a `hidden beast` number, since 1 + 2 + 86 + 499 + 0 + 13 + 63 + 2 + 0 + 0 = 666.

It is a super-2 number, since 2×128649901363200² (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 25953175122 + ... + 25953180078.

Almost surely, 2^{128649901363200} is an apocalyptic number.

128649901363200 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 128649901363200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274952565451200).

128649901363200 is an abundant number, since it is smaller than the sum of its proper divisors (421255229539200).

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

128649901363200 is an equidigital number, since it uses as much as digits as its factorization.

128649901363200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5162 (or 5123 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The spelling of 128649901363200 in words is "one hundred twenty-eight trillion, six hundred forty-nine billion, nine hundred one million, three hundred sixty-three thousand, two hundred".