128454487761600 has 8064 divisors, whose sum is σ = 672701344358400. Its totient is φ = 23843828736000.

The previous prime is 128454487761559. The next prime is 128454487761617. The reversal of 128454487761600 is 6167784454821.

128454487761600 is a `hidden beast` number, since 1 + 2 + 8 + 4 + 5 + 4 + 4 + 8 + 7 + 7 + 616 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 1151 ways as a sum of consecutive naturals, for example, 4143693153585 + ... + 4143693153615.

It is an arithmetic number, because the mean of its divisors is an integer number (83420305600).

Almost surely, 2^{128454487761600} is an apocalyptic number.

128454487761600 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 128454487761600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336350672179200).

128454487761600 is an abundant number, since it is smaller than the sum of its proper divisors (544246856596800).

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

128454487761600 is an equidigital number, since it uses as much as digits as its factorization.

128454487761600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 72253440, while the sum is 63.

The spelling of 128454487761600 in words is "one hundred twenty-eight trillion, four hundred fifty-four billion, four hundred eighty-seven million, seven hundred sixty-one thousand, six hundred".