128467820250 has 768 divisors, whose sum is σ = 454985856000. Its totient is φ = 25909632000.

The previous prime is 128467820233. The next prime is 128467820309. The reversal of 128467820250 is 52028764821.

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 = 128467820196 and 128467820205.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 314102046 + ... + 314102454.

It is an arithmetic number, because the mean of its divisors is an integer number (592429500).

Almost surely, 2^128467820250 is an apocalyptic number.

128467820250 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 128467820250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227492928000).

128467820250 is an abundant number, since it is smaller than the sum of its proper divisors (326518035750).

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

128467820250 is a wasteful number, since it uses less digits than its factorization.

128467820250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 501 (or 474 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 128467820250 in words is "one hundred twenty-eight billion, four hundred sixty-seven million, eight hundred twenty thousand, two hundred fifty".