128087521545984 has 1152 divisors, whose sum is σ = 468293417238528. Its totient is φ = 30002662932480.

The previous prime is 128087521545959. The next prime is 128087521546001. The reversal of 128087521545984 is 489545125780821.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 22148971957 + ... + 22148977739.

It is an arithmetic number, because the mean of its divisors is an integer number (406504702464).

Almost surely, 2^{128087521545984} is an apocalyptic number.

128087521545984 is a gapful number since it is divisible by the number (14) 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 128087521545984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234146708619264).

128087521545984 is an abundant number, since it is smaller than the sum of its proper divisors (340205895692544).

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

128087521545984 is a wasteful number, since it uses less digits than its factorization.

128087521545984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6493 (or 6479 counting only the distinct ones).

The product of its (nonzero) digits is 258048000, while the sum is 69.

The spelling of 128087521545984 in words is "one hundred twenty-eight trillion, eighty-seven billion, five hundred twenty-one million, five hundred forty-five thousand, nine hundred eighty-four".