10128842863200 has 432 divisors, whose sum is σ = 38072613196800. Its totient is φ = 2526472166400.

The previous prime is 10128842863193. The next prime is 10128842863297. The reversal of 10128842863200 is 236824882101.

10128842863200 is a `hidden beast` number, since 1 + 0 + 1 + 2 + 8 + 8 + 4 + 2 + 8 + 632 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10338585 + ... + 11275815.

Almost surely, 2^{10128842863200} is an apocalyptic number.

10128842863200 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 10128842863200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19036306598400).

10128842863200 is an abundant number, since it is smaller than the sum of its proper divisors (27943770333600).

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

10128842863200 is a wasteful number, since it uses less digits than its factorization.

10128842863200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 937355 (or 937339 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The spelling of 10128842863200 in words is "ten trillion, one hundred twenty-eight billion, eight hundred forty-two million, eight hundred sixty-three thousand, two hundred".