128690263296 has 1152 divisors, whose sum is σ = 489775104000. Its totient is φ = 33164328960.

The previous prime is 128690263283. The next prime is 128690263301. The reversal of 128690263296 is 692362096821.

It is a happy number.

128690263296 is a `hidden beast` number, since 1 + 2 + 8 + 6 + 90 + 263 + 296 = 666.

128690263296 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×128690263296² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1249419981 + ... + 1249420083.

It is an arithmetic number, because the mean of its divisors is an integer number (425152000).

Almost surely, 2^128690263296 is an apocalyptic number.

128690263296 is a gapful number since it is divisible by the number (16) 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 128690263296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244887552000).

128690263296 is an abundant number, since it is smaller than the sum of its proper divisors (361084840704).

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

128690263296 is a wasteful number, since it uses less digits than its factorization.

128690263296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The spelling of 128690263296 in words is "one hundred twenty-eight billion, six hundred ninety million, two hundred sixty-three thousand, two hundred ninety-six".