128102860800 has 1440 divisors, whose sum is σ = 530853523200. Its totient is φ = 30364139520.

The previous prime is 128102860759. The next prime is 128102860859. The reversal of 128102860800 is 8068201821.

128102860800 is a `hidden beast` number, since 1 + 28 + 1 + 0 + 28 + 608 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1621555161 + ... + 1621555239.

It is an arithmetic number, because the mean of its divisors is an integer number (368648280).

Almost surely, 2^128102860800 is an apocalyptic number.

128102860800 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 128102860800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265426761600).

128102860800 is an abundant number, since it is smaller than the sum of its proper divisors (402750662400).

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

128102860800 is a wasteful number, since it uses less digits than its factorization.

128102860800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The spelling of 128102860800 in words is "one hundred twenty-eight billion, one hundred two million, eight hundred sixty thousand, eight hundred".