128254985798400 has 540 divisors, whose sum is σ = 489514507441344. Its totient is φ = 33098056704000.

The previous prime is 128254985798383. The next prime is 128254985798473. The reversal of 128254985798400 is 4897589452821.

128254985798400 is a `hidden beast` number, since 1 + 2 + 8 + 2 + 5 + 4 + 9 + 8 + 579 + 8 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (540).

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 59 ways as a sum of consecutive naturals, for example, 12079990 + ... + 20060810.

Almost surely, 2^{128254985798400} is an apocalyptic number.

128254985798400 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 128254985798400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244757253720672).

128254985798400 is an abundant number, since it is smaller than the sum of its proper divisors (361259521642944).

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

128254985798400 is an equidigital number, since it uses as much as digits as its factorization.

128254985798400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7980890 (or 7980862 counting only the distinct ones).

The product of its (nonzero) digits is 464486400, while the sum is 72.

The spelling of 128254985798400 in words is "one hundred twenty-eight trillion, two hundred fifty-four billion, nine hundred eighty-five million, seven hundred ninety-eight thousand, four hundred".