128067265350 has 240 divisors, whose sum is σ = 378043544736. Its totient is φ = 32033664000.

The previous prime is 128067265349. The next prime is 128067265369. The reversal of 128067265350 is 53562760821.

128067265350 is a `hidden beast` number, since 1 + 280 + 67 + 265 + 3 + 50 = 666.

It is a super-3 number, since 3×128067265350³ (a number of 34 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 128067265296 and 128067265305.

It is a congruent number.

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, 21409360 + ... + 21415340.

Almost surely, 2^128067265350 is an apocalyptic number.

128067265350 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 128067265350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189021772368).

128067265350 is an abundant number, since it is smaller than the sum of its proper divisors (249976279386).

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

128067265350 is a wasteful number, since it uses less digits than its factorization.

128067265350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6333 (or 6319 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 128067265350 in words is "one hundred twenty-eight billion, sixty-seven million, two hundred sixty-five thousand, three hundred fifty".