128697585408 has 432 divisors, whose sum is σ = 433267301376. Its totient is φ = 35982213120.

The previous prime is 128697585371. The next prime is 128697585409. The reversal of 128697585408 is 804585796821.

128697585408 is a `hidden beast` number, since 1 + 2 + 8 + 6 + 9 + 7 + 585 + 40 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128697585409) 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, 191229360 + ... + 191230032.

It is an arithmetic number, because the mean of its divisors is an integer number (1002933568).

Almost surely, 2^128697585408 is an apocalyptic number.

128697585408 is a gapful number since it is divisible by the number (18) 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 128697585408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216633650688).

128697585408 is an abundant number, since it is smaller than the sum of its proper divisors (304569715968).

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

128697585408 is a wasteful number, since it uses less digits than its factorization.

128697585408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 940 (or 923 counting only the distinct ones).

The product of its (nonzero) digits is 38707200, while the sum is 63.

The spelling of 128697585408 in words is "one hundred twenty-eight billion, six hundred ninety-seven million, five hundred eighty-five thousand, four hundred eight".