128883735552 has 352 divisors, whose sum is σ = 409208728320. Its totient is φ = 35548692480.

The previous prime is 128883735493. The next prime is 128883735583. The reversal of 128883735552 is 255537388821.

It is a tau number, because it is divible by the number of its divisors (352).

It is a super-2 number, since 2×128883735552² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 128883735492 and 128883735501.

It is a congruent number.

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, 32066599 + ... + 32070617.

Almost surely, 2^128883735552 is an apocalyptic number.

128883735552 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 128883735552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204604364160).

128883735552 is an abundant number, since it is smaller than the sum of its proper divisors (280324992768).

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

128883735552 is a wasteful number, since it uses less digits than its factorization.

128883735552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4139 (or 4121 counting only the distinct ones).

The product of its digits is 16128000, while the sum is 57.

The spelling of 128883735552 in words is "one hundred twenty-eight billion, eight hundred eighty-three million, seven hundred thirty-five thousand, five hundred fifty-two".