128052821952 has 336 divisors, whose sum is σ = 435090539520. Its totient is φ = 35574681600.

The previous prime is 128052821951. The next prime is 128052821989. The reversal of 128052821952 is 259128250821.

128052821952 is a `hidden beast` number, since 1 + 280 + 5 + 282 + 1 + 95 + 2 = 666.

It is a super-2 number, since 2×128052821952² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 128052821898 and 128052821907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128052821951) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3714748 + ... + 3749060.

It is an arithmetic number, because the mean of its divisors is an integer number (1294912320).

Almost surely, 2^128052821952 is an apocalyptic number.

128052821952 is a gapful number since it is divisible by the number (12) 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 128052821952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217545269760).

128052821952 is an abundant number, since it is smaller than the sum of its proper divisors (307037717568).

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

128052821952 is a wasteful number, since it uses less digits than its factorization.

128052821952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34392 (or 34379 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 45.

The spelling of 128052821952 in words is "one hundred twenty-eight billion, fifty-two million, eight hundred twenty-one thousand, nine hundred fifty-two".