128385976320 has 384 divisors, whose sum is σ = 521575891200. Its totient is φ = 29344923648.

The previous prime is 128385976319. The next prime is 128385976343. The reversal of 128385976320 is 23679583821.

128385976320 is a `hidden beast` number, since 1 + 28 + 3 + 8 + 597 + 6 + 3 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1902192 + ... + 1968528.

It is an arithmetic number, because the mean of its divisors is an integer number (1358270550).

Almost surely, 2^128385976320 is an apocalyptic number.

128385976320 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 128385976320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260787945600).

128385976320 is an abundant number, since it is smaller than the sum of its proper divisors (393189914880).

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

128385976320 is an equidigital number, since it uses as much as digits as its factorization.

128385976320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66380 (or 66354 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 128385976320 in words is "one hundred twenty-eight billion, three hundred eighty-five million, nine hundred seventy-six thousand, three hundred twenty".