128255653008000 has 1536 divisors, whose sum is σ = 536815348392960. Its totient is φ = 28740096000000.

The previous prime is 128255653007969. The next prime is 128255653008001. The reversal of 128255653008000 is 800356552821.

128255653008000 is a `hidden beast` number, since 1 + 2 + 8 + 2 + 5 + 565 + 3 + 0 + 0 + 80 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (128255653008001) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 12953803050 + ... + 12953812950.

It is an arithmetic number, because the mean of its divisors is an integer number (349489159110).

Almost surely, 2^{128255653008000} is an apocalyptic number.

128255653008000 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 128255653008000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268407674196480).

128255653008000 is an abundant number, since it is smaller than the sum of its proper divisors (408559695384960).

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

128255653008000 is a wasteful number, since it uses less digits than its factorization.

128255653008000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10195 (or 10170 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 45.

The spelling of 128255653008000 in words is "one hundred twenty-eight trillion, two hundred fifty-five billion, six hundred fifty-three million, eight thousand".