128992909190400 has 864 divisors, whose sum is σ = 476301358512000. Its totient is φ = 34158851850240.

The previous prime is 128992909190363. The next prime is 128992909190489. The reversal of 128992909190400 is 4091909299821.

128992909190400 is a `hidden beast` number, since 12 + 8 + 9 + 9 + 29 + 0 + 9 + 190 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 26384311156 + ... + 26384316044.

It is an arithmetic number, because the mean of its divisors is an integer number (551274720500).

Almost surely, 2^{128992909190400} is an apocalyptic number.

128992909190400 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 128992909190400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238150679256000).

128992909190400 is an abundant number, since it is smaller than the sum of its proper divisors (347308449321600).

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

128992909190400 is a wasteful number, since it uses less digits than its factorization.

128992909190400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5956 (or 5931 counting only the distinct ones).

The product of its (nonzero) digits is 7558272, while the sum is 63.

The spelling of 128992909190400 in words is "one hundred twenty-eight trillion, nine hundred ninety-two billion, nine hundred nine million, one hundred ninety thousand, four hundred".