128947355568720 has 960 divisors, whose sum is σ = 485627424522240. Its totient is φ = 30448676044800.

The previous prime is 128947355568719. The next prime is 128947355568761. The reversal of 128947355568720 is 27865553749821.

128947355568720 is a `hidden beast` number, since 1 + 2 + 8 + 9 + 4 + 7 + 3 + 55 + 568 + 7 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 15594064746 + ... + 15594073014.

It is an arithmetic number, because the mean of its divisors is an integer number (505861900544).

It is a 1-persistent number, because it is pandigital, but 2⋅128947355568720 = 257894711137440 is not.

Almost surely, 2^{128947355568720} is an apocalyptic number.

128947355568720 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 128947355568720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242813712261120).

128947355568720 is an abundant number, since it is smaller than the sum of its proper divisors (356680068953520).

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

128947355568720 is a wasteful number, since it uses less digits than its factorization.

128947355568720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8796 (or 8787 counting only the distinct ones).

The product of its (nonzero) digits is 1016064000, while the sum is 72.

The spelling of 128947355568720 in words is "one hundred twenty-eight trillion, nine hundred forty-seven billion, three hundred fifty-five million, five hundred sixty-eight thousand, seven hundred twenty".