128292257520 has 960 divisors, whose sum is σ = 558592819200. Its totient is φ = 25701857280.

The previous prime is 128292257519. The next prime is 128292257557. The reversal of 128292257520 is 25752292821.

128292257520 is a `hidden beast` number, since 12 + 8 + 2 + 92 + 25 + 7 + 520 = 666.

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

It is a congruent number.

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 191 ways as a sum of consecutive naturals, for example, 68275941 + ... + 68277819.

It is an arithmetic number, because the mean of its divisors is an integer number (581867520).

Almost surely, 2^128292257520 is an apocalyptic number.

128292257520 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 128292257520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279296409600).

128292257520 is an abundant number, since it is smaller than the sum of its proper divisors (430300561680).

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

128292257520 is a wasteful number, since it uses less digits than its factorization.

128292257520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1978 (or 1969 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 128292257520 in words is "one hundred twenty-eight billion, two hundred ninety-two million, two hundred fifty-seven thousand, five hundred twenty".