128290547246400 has 6048 divisors, whose sum is σ = 654690744789120. Its totient is φ = 23410114560000.

The previous prime is 128290547246399. The next prime is 128290547246401. The reversal of 128290547246400 is 4642745092821.

128290547246400 is a `hidden beast` number, since 1 + 2 + 8 + 2 + 90 + 5 + 472 + 46 + 40 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (128290547246399) and next prime (128290547246401).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128290547246401) by changing a digit.

It is a polite number, since it can be written in 863 ways as a sum of consecutive naturals, for example, 183010766050 + ... + 183010766750.

Almost surely, 2^{128290547246400} is an apocalyptic number.

128290547246400 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 128290547246400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327345372394560).

128290547246400 is an abundant number, since it is smaller than the sum of its proper divisors (526400197542720).

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

128290547246400 is a wasteful number, since it uses less digits than its factorization.

128290547246400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 863 (or 838 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 128290547246400 in words is "one hundred twenty-eight trillion, two hundred ninety billion, five hundred forty-seven million, two hundred forty-six thousand, four hundred".