128593551720480 has 384 divisors, whose sum is σ = 505085344727040. Its totient is φ = 26717383741440.

The previous prime is 128593551720479. The next prime is 128593551720493. The reversal of 128593551720480 is 84027155395821.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 299790001 + ... + 300218639.

It is an arithmetic number, because the mean of its divisors is an integer number (1315326418560).

Almost surely, 2^{128593551720480} is an apocalyptic number.

128593551720480 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 128593551720480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252542672363520).

128593551720480 is an abundant number, since it is smaller than the sum of its proper divisors (376491793006560).

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

128593551720480 is a wasteful number, since it uses less digits than its factorization.

128593551720480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 436792 (or 436784 counting only the distinct ones).

The product of its (nonzero) digits is 24192000, while the sum is 60.

The spelling of 128593551720480 in words is "one hundred twenty-eight trillion, five hundred ninety-three billion, five hundred fifty-one million, seven hundred twenty thousand, four hundred eighty".